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Finding the Fourth Proportional to 1,060.38, 1,462.46 and 666.72

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Solution

The fourth proportional to 1,060.38, 1,462.46 and 666.72 is: 919.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.38 : 1,462.46 = 666.72 : x
  2. Step 2: Convert to fraction form
    1,060.38/1,462.46 = 666.72/x
  3. Step 3: Cross multiply
    1,060.38x = 1,462.46 × 666.72
  4. Step 4: Simplify right side
    1,060.38x = 975,048.00
  5. Step 5: Solve for x
    x = 975,048.00/1,060.38
  6. Step 6: Final answer
    x = 919.53

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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.