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Finding the Fourth Proportional to 520.90, 719.18 and 402.67

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Solution

The fourth proportional to 520.90, 719.18 and 402.67 is: 555.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.90 : 719.18 = 402.67 : x
  2. Step 2: Convert to fraction form
    520.90/719.18 = 402.67/x
  3. Step 3: Cross multiply
    520.90x = 719.18 × 402.67
  4. Step 4: Simplify right side
    520.90x = 289,590.83
  5. Step 5: Solve for x
    x = 289,590.83/520.90
  6. Step 6: Final answer
    x = 555.95

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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.