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Finding the Fourth Proportional to 520.02, 775.05 and 497.13

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Solution

The fourth proportional to 520.02, 775.05 and 497.13 is: 740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.02 : 775.05 = 497.13 : x
  2. Step 2: Convert to fraction form
    520.02/775.05 = 497.13/x
  3. Step 3: Cross multiply
    520.02x = 775.05 × 497.13
  4. Step 4: Simplify right side
    520.02x = 385,300.61
  5. Step 5: Solve for x
    x = 385,300.61/520.02
  6. Step 6: Final answer
    x = 740.93

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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.