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Finding the Fourth Proportional to 688.71, 1,037.73 and 569.64

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Solution

The fourth proportional to 688.71, 1,037.73 and 569.64 is: 858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.71 : 1,037.73 = 569.64 : x
  2. Step 2: Convert to fraction form
    688.71/1,037.73 = 569.64/x
  3. Step 3: Cross multiply
    688.71x = 1,037.73 × 569.64
  4. Step 4: Simplify right side
    688.71x = 591,132.52
  5. Step 5: Solve for x
    x = 591,132.52/688.71
  6. Step 6: Final answer
    x = 858.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.