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Finding the Fourth Proportional to 1,059.54, 1,462.35 and 666.78

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Solution

The fourth proportional to 1,059.54, 1,462.35 and 666.78 is: 920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.54 : 1,462.35 = 666.78 : x
  2. Step 2: Convert to fraction form
    1,059.54/1,462.35 = 666.78/x
  3. Step 3: Cross multiply
    1,059.54x = 1,462.35 × 666.78
  4. Step 4: Simplify right side
    1,059.54x = 975,065.73
  5. Step 5: Solve for x
    x = 975,065.73/1,059.54
  6. Step 6: Final answer
    x = 920.27

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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.