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Finding the Fourth Proportional to 775.16, 1,158.26 and 586.30

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Solution

The fourth proportional to 775.16, 1,158.26 and 586.30 is: 876.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.16 : 1,158.26 = 586.30 : x
  2. Step 2: Convert to fraction form
    775.16/1,158.26 = 586.30/x
  3. Step 3: Cross multiply
    775.16x = 1,158.26 × 586.30
  4. Step 4: Simplify right side
    775.16x = 679,086.41
  5. Step 5: Solve for x
    x = 679,086.41/775.16
  6. Step 6: Final answer
    x = 876.06

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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.