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Finding the Fourth Proportional to 652.17, 978.50 and 421.50

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Solution

The fourth proportional to 652.17, 978.50 and 421.50 is: 632.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.17 : 978.50 = 421.50 : x
  2. Step 2: Convert to fraction form
    652.17/978.50 = 421.50/x
  3. Step 3: Cross multiply
    652.17x = 978.50 × 421.50
  4. Step 4: Simplify right side
    652.17x = 412,437.75
  5. Step 5: Solve for x
    x = 412,437.75/652.17
  6. Step 6: Final answer
    x = 632.41

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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.