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Finding the Fourth Proportional to 898.35, 1,347.53 and 411.06

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Solution

The fourth proportional to 898.35, 1,347.53 and 411.06 is: 616.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.35 : 1,347.53 = 411.06 : x
  2. Step 2: Convert to fraction form
    898.35/1,347.53 = 411.06/x
  3. Step 3: Cross multiply
    898.35x = 1,347.53 × 411.06
  4. Step 4: Simplify right side
    898.35x = 553,915.68
  5. Step 5: Solve for x
    x = 553,915.68/898.35
  6. Step 6: Final answer
    x = 616.59

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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.