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Finding the Fourth Proportional to 711.68, 1,066.24 and 480

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Solution

The fourth proportional to 711.68, 1,066.24 and 480 is: 719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.68 : 1,066.24 = 480 : x
  2. Step 2: Convert to fraction form
    711.68/1,066.24 = 480/x
  3. Step 3: Cross multiply
    711.68x = 1,066.24 × 480
  4. Step 4: Simplify right side
    711.68x = 511,795.20
  5. Step 5: Solve for x
    x = 511,795.20/711.68
  6. Step 6: Final answer
    x = 719.14

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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.