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Finding the Fourth Proportional to 708.21, 974.57 and 688.77

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Solution

The fourth proportional to 708.21, 974.57 and 688.77 is: 947.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.21 : 974.57 = 688.77 : x
  2. Step 2: Convert to fraction form
    708.21/974.57 = 688.77/x
  3. Step 3: Cross multiply
    708.21x = 974.57 × 688.77
  4. Step 4: Simplify right side
    708.21x = 671,251.14
  5. Step 5: Solve for x
    x = 671,251.14/708.21
  6. Step 6: Final answer
    x = 947.81

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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.