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Finding the Fourth Proportional to 838.40, 1,259.42 and 565.02

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Solution

The fourth proportional to 838.40, 1,259.42 and 565.02 is: 848.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.40 : 1,259.42 = 565.02 : x
  2. Step 2: Convert to fraction form
    838.40/1,259.42 = 565.02/x
  3. Step 3: Cross multiply
    838.40x = 1,259.42 × 565.02
  4. Step 4: Simplify right side
    838.40x = 711,602.56
  5. Step 5: Solve for x
    x = 711,602.56/838.40
  6. Step 6: Final answer
    x = 848.76

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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.