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Finding the Fourth Proportional to 711.64, 977.96 and 692.20

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Solution

The fourth proportional to 711.64, 977.96 and 692.20 is: 951.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.64 : 977.96 = 692.20 : x
  2. Step 2: Convert to fraction form
    711.64/977.96 = 692.20/x
  3. Step 3: Cross multiply
    711.64x = 977.96 × 692.20
  4. Step 4: Simplify right side
    711.64x = 676,943.91
  5. Step 5: Solve for x
    x = 676,943.91/711.64
  6. Step 6: Final answer
    x = 951.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.