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Finding the Fourth Proportional to 2,291.83, 3,437.75 and 560.45

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Solution

The fourth proportional to 2,291.83, 3,437.75 and 560.45 is: 840.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.83 : 3,437.75 = 560.45 : x
  2. Step 2: Convert to fraction form
    2,291.83/3,437.75 = 560.45/x
  3. Step 3: Cross multiply
    2,291.83x = 3,437.75 × 560.45
  4. Step 4: Simplify right side
    2,291.83x = 1,926,696.98
  5. Step 5: Solve for x
    x = 1,926,696.98/2,291.83
  6. Step 6: Final answer
    x = 840.68

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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.