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Finding the Fourth Proportional to 708.68, 977.77 and 472.87

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Solution

The fourth proportional to 708.68, 977.77 and 472.87 is: 652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.68 : 977.77 = 472.87 : x
  2. Step 2: Convert to fraction form
    708.68/977.77 = 472.87/x
  3. Step 3: Cross multiply
    708.68x = 977.77 × 472.87
  4. Step 4: Simplify right side
    708.68x = 462,359.91
  5. Step 5: Solve for x
    x = 462,359.91/708.68
  6. Step 6: Final answer
    x = 652.42

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1.5x scale

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.