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Finding the Fourth Proportional to 839.68, 1,258.90 and 565.08

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Solution

The fourth proportional to 839.68, 1,258.90 and 565.08 is: 847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.68 : 1,258.90 = 565.08 : x
  2. Step 2: Convert to fraction form
    839.68/1,258.90 = 565.08/x
  3. Step 3: Cross multiply
    839.68x = 1,258.90 × 565.08
  4. Step 4: Simplify right side
    839.68x = 711,379.21
  5. Step 5: Solve for x
    x = 711,379.21/839.68
  6. Step 6: Final answer
    x = 847.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.