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Finding the Fourth Proportional to 520.72, 719.94 and 497.77

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Solution

The fourth proportional to 520.72, 719.94 and 497.77 is: 688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.72 : 719.94 = 497.77 : x
  2. Step 2: Convert to fraction form
    520.72/719.94 = 497.77/x
  3. Step 3: Cross multiply
    520.72x = 719.94 × 497.77
  4. Step 4: Simplify right side
    520.72x = 358,364.53
  5. Step 5: Solve for x
    x = 358,364.53/520.72
  6. Step 6: Final answer
    x = 688.21

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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.