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Finding the Fourth Proportional to 1,060.16, 1,462.24 and 728.64

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Solution

The fourth proportional to 1,060.16, 1,462.24 and 728.64 is: 1,004.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.16 : 1,462.24 = 728.64 : x
  2. Step 2: Convert to fraction form
    1,060.16/1,462.24 = 728.64/x
  3. Step 3: Cross multiply
    1,060.16x = 1,462.24 × 728.64
  4. Step 4: Simplify right side
    1,060.16x = 1,065,446.55
  5. Step 5: Solve for x
    x = 1,065,446.55/1,060.16
  6. Step 6: Final answer
    x = 1,004.99

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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.