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Finding the Fourth Proportional to 706.18, 974.58 and 520.52

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Solution

The fourth proportional to 706.18, 974.58 and 520.52 is: 718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.18 : 974.58 = 520.52 : x
  2. Step 2: Convert to fraction form
    706.18/974.58 = 520.52/x
  3. Step 3: Cross multiply
    706.18x = 974.58 × 520.52
  4. Step 4: Simplify right side
    706.18x = 507,288.38
  5. Step 5: Solve for x
    x = 507,288.38/706.18
  6. Step 6: Final answer
    x = 718.36

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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.