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Finding the Fourth Proportional to 709.48, 1,068.68 and 633.34

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Solution

The fourth proportional to 709.48, 1,068.68 and 633.34 is: 953.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.48 : 1,068.68 = 633.34 : x
  2. Step 2: Convert to fraction form
    709.48/1,068.68 = 633.34/x
  3. Step 3: Cross multiply
    709.48x = 1,068.68 × 633.34
  4. Step 4: Simplify right side
    709.48x = 676,837.79
  5. Step 5: Solve for x
    x = 676,837.79/709.48
  6. Step 6: Final answer
    x = 953.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.