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Finding the Fourth Proportional to 708.40, 1,057.46 and 654.94

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Solution

The fourth proportional to 708.40, 1,057.46 and 654.94 is: 977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.40 : 1,057.46 = 654.94 : x
  2. Step 2: Convert to fraction form
    708.40/1,057.46 = 654.94/x
  3. Step 3: Cross multiply
    708.40x = 1,057.46 × 654.94
  4. Step 4: Simplify right side
    708.40x = 692,572.85
  5. Step 5: Solve for x
    x = 692,572.85/708.40
  6. Step 6: Final answer
    x = 977.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.