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Finding the Fourth Proportional to 953.46, 1,315.20 and 560.16

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Solution

The fourth proportional to 953.46, 1,315.20 and 560.16 is: 772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.46 : 1,315.20 = 560.16 : x
  2. Step 2: Convert to fraction form
    953.46/1,315.20 = 560.16/x
  3. Step 3: Cross multiply
    953.46x = 1,315.20 × 560.16
  4. Step 4: Simplify right side
    953.46x = 736,722.43
  5. Step 5: Solve for x
    x = 736,722.43/953.46
  6. Step 6: Final answer
    x = 772.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.