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Finding the Fourth Proportional to 898.12, 1,347.45 and 436.15

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Solution

The fourth proportional to 898.12, 1,347.45 and 436.15 is: 654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.12 : 1,347.45 = 436.15 : x
  2. Step 2: Convert to fraction form
    898.12/1,347.45 = 436.15/x
  3. Step 3: Cross multiply
    898.12x = 1,347.45 × 436.15
  4. Step 4: Simplify right side
    898.12x = 587,690.32
  5. Step 5: Solve for x
    x = 587,690.32/898.12
  6. Step 6: Final answer
    x = 654.36

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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.