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Finding the Fourth Proportional to 898.12, 1,347.80 and 411.20

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Solution

The fourth proportional to 898.12, 1,347.80 and 411.20 is: 617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.12 : 1,347.80 = 411.20 : x
  2. Step 2: Convert to fraction form
    898.12/1,347.80 = 411.20/x
  3. Step 3: Cross multiply
    898.12x = 1,347.80 × 411.20
  4. Step 4: Simplify right side
    898.12x = 554,215.36
  5. Step 5: Solve for x
    x = 554,215.36/898.12
  6. Step 6: Final answer
    x = 617.08

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