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Finding the Fourth Proportional to 652.95, 979.42 and 471.50

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Solution

The fourth proportional to 652.95, 979.42 and 471.50 is: 707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.95 : 979.42 = 471.50 : x
  2. Step 2: Convert to fraction form
    652.95/979.42 = 471.50/x
  3. Step 3: Cross multiply
    652.95x = 979.42 × 471.50
  4. Step 4: Simplify right side
    652.95x = 461,796.53
  5. Step 5: Solve for x
    x = 461,796.53/652.95
  6. Step 6: Final answer
    x = 707.25

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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.