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Finding the Fourth Proportional to 738.68, 1,019.87 and 570.32

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Solution

The fourth proportional to 738.68, 1,019.87 and 570.32 is: 787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.68 : 1,019.87 = 570.32 : x
  2. Step 2: Convert to fraction form
    738.68/1,019.87 = 570.32/x
  3. Step 3: Cross multiply
    738.68x = 1,019.87 × 570.32
  4. Step 4: Simplify right side
    738.68x = 581,652.26
  5. Step 5: Solve for x
    x = 581,652.26/738.68
  6. Step 6: Final answer
    x = 787.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.