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Finding the Fourth Proportional to 775.01, 1,157.50 and 658.22

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Solution

The fourth proportional to 775.01, 1,157.50 and 658.22 is: 983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.01 : 1,157.50 = 658.22 : x
  2. Step 2: Convert to fraction form
    775.01/1,157.50 = 658.22/x
  3. Step 3: Cross multiply
    775.01x = 1,157.50 × 658.22
  4. Step 4: Simplify right side
    775.01x = 761,882.22
  5. Step 5: Solve for x
    x = 761,882.22/775.01
  6. Step 6: Final answer
    x = 983.06

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1.5x scale

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.