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Finding the Fourth Proportional to 2,291.72, 3,437.57 and 560.34

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Solution

The fourth proportional to 2,291.72, 3,437.57 and 560.34 is: 840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.72 : 3,437.57 = 560.34 : x
  2. Step 2: Convert to fraction form
    2,291.72/3,437.57 = 560.34/x
  3. Step 3: Cross multiply
    2,291.72x = 3,437.57 × 560.34
  4. Step 4: Simplify right side
    2,291.72x = 1,926,205.17
  5. Step 5: Solve for x
    x = 1,926,205.17/2,291.72
  6. Step 6: Final answer
    x = 840.51

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.