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Finding the Fourth Proportional to 652.59, 970.49 and 632.09

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Solution

The fourth proportional to 652.59, 970.49 and 632.09 is: 939.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.59 : 970.49 = 632.09 : x
  2. Step 2: Convert to fraction form
    652.59/970.49 = 632.09/x
  3. Step 3: Cross multiply
    652.59x = 970.49 × 632.09
  4. Step 4: Simplify right side
    652.59x = 613,429.01
  5. Step 5: Solve for x
    x = 613,429.01/652.59
  6. Step 6: Final answer
    x = 939.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.