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Finding the Fourth Proportional to 898.93, 1,346.59 and 411.31

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Solution

The fourth proportional to 898.93, 1,346.59 and 411.31 is: 616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.93 : 1,346.59 = 411.31 : x
  2. Step 2: Convert to fraction form
    898.93/1,346.59 = 411.31/x
  3. Step 3: Cross multiply
    898.93x = 1,346.59 × 411.31
  4. Step 4: Simplify right side
    898.93x = 553,865.93
  5. Step 5: Solve for x
    x = 553,865.93/898.93
  6. Step 6: Final answer
    x = 616.14

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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.