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Finding the Fourth Proportional to 652.92, 978.30 and 460.14

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Solution

The fourth proportional to 652.92, 978.30 and 460.14 is: 689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.92 : 978.30 = 460.14 : x
  2. Step 2: Convert to fraction form
    652.92/978.30 = 460.14/x
  3. Step 3: Cross multiply
    652.92x = 978.30 × 460.14
  4. Step 4: Simplify right side
    652.92x = 450,154.96
  5. Step 5: Solve for x
    x = 450,154.96/652.92
  6. Step 6: Final answer
    x = 689.45

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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.