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Finding the Fourth Proportional to 707.28, 1,061.16 and 322.56

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Solution

The fourth proportional to 707.28, 1,061.16 and 322.56 is: 483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.28 : 1,061.16 = 322.56 : x
  2. Step 2: Convert to fraction form
    707.28/1,061.16 = 322.56/x
  3. Step 3: Cross multiply
    707.28x = 1,061.16 × 322.56
  4. Step 4: Simplify right side
    707.28x = 342,287.77
  5. Step 5: Solve for x
    x = 342,287.77/707.28
  6. Step 6: Final answer
    x = 483.95

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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.