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Finding the Fourth Proportional to 1,131.08, 1,560.76 and 658.91

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Solution

The fourth proportional to 1,131.08, 1,560.76 and 658.91 is: 909.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.08 : 1,560.76 = 658.91 : x
  2. Step 2: Convert to fraction form
    1,131.08/1,560.76 = 658.91/x
  3. Step 3: Cross multiply
    1,131.08x = 1,560.76 × 658.91
  4. Step 4: Simplify right side
    1,131.08x = 1,028,400.37
  5. Step 5: Solve for x
    x = 1,028,400.37/1,131.08
  6. Step 6: Final answer
    x = 909.22

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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.