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Finding the Fourth Proportional to 652.16, 976.08 and 463.59

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Solution

The fourth proportional to 652.16, 976.08 and 463.59 is: 693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.16 : 976.08 = 463.59 : x
  2. Step 2: Convert to fraction form
    652.16/976.08 = 463.59/x
  3. Step 3: Cross multiply
    652.16x = 976.08 × 463.59
  4. Step 4: Simplify right side
    652.16x = 452,500.93
  5. Step 5: Solve for x
    x = 452,500.93/652.16
  6. Step 6: Final answer
    x = 693.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.