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Finding the Fourth Proportional to 898.01, 1,347.53 and 411.07

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Solution

The fourth proportional to 898.01, 1,347.53 and 411.07 is: 616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.01 : 1,347.53 = 411.07 : x
  2. Step 2: Convert to fraction form
    898.01/1,347.53 = 411.07/x
  3. Step 3: Cross multiply
    898.01x = 1,347.53 × 411.07
  4. Step 4: Simplify right side
    898.01x = 553,922.42
  5. Step 5: Solve for x
    x = 553,922.42/898.01
  6. Step 6: Final answer
    x = 616.83

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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.