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Finding the Fourth Proportional to 2,291.88, 3,437.84 and 560.51

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Solution

The fourth proportional to 2,291.88, 3,437.84 and 560.51 is: 840.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.88 : 3,437.84 = 560.51 : x
  2. Step 2: Convert to fraction form
    2,291.88/3,437.84 = 560.51/x
  3. Step 3: Cross multiply
    2,291.88x = 3,437.84 × 560.51
  4. Step 4: Simplify right side
    2,291.88x = 1,926,923.71
  5. Step 5: Solve for x
    x = 1,926,923.71/2,291.88
  6. Step 6: Final answer
    x = 840.76

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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.