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Finding the Fourth Proportional to 529.02, 787.91 and 500.94

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Solution

The fourth proportional to 529.02, 787.91 and 500.94 is: 746.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.02 : 787.91 = 500.94 : x
  2. Step 2: Convert to fraction form
    529.02/787.91 = 500.94/x
  3. Step 3: Cross multiply
    529.02x = 787.91 × 500.94
  4. Step 4: Simplify right side
    529.02x = 394,693.13
  5. Step 5: Solve for x
    x = 394,693.13/529.02
  6. Step 6: Final answer
    x = 746.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.