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Finding the Fourth Proportional to 520.19, 718.01 and 354.68

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Solution

The fourth proportional to 520.19, 718.01 and 354.68 is: 489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.19 : 718.01 = 354.68 : x
  2. Step 2: Convert to fraction form
    520.19/718.01 = 354.68/x
  3. Step 3: Cross multiply
    520.19x = 718.01 × 354.68
  4. Step 4: Simplify right side
    520.19x = 254,663.79
  5. Step 5: Solve for x
    x = 254,663.79/520.19
  6. Step 6: Final answer
    x = 489.56

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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.