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Finding the Fourth Proportional to 520, 717.84 and 402.56

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Solution

The fourth proportional to 520, 717.84 and 402.56 is: 555.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    520 : 717.84 = 402.56 : x
  2. Step 2: Convert to fraction form
    520/717.84 = 402.56/x
  3. Step 3: Cross multiply
    520x = 717.84 × 402.56
  4. Step 4: Simplify right side
    520x = 288,973.67
  5. Step 5: Solve for x
    x = 288,973.67/520
  6. Step 6: Final answer
    x = 555.72

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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.