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Finding the Fourth Proportional to 898.03, 1,345.15 and 411.49

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Solution

The fourth proportional to 898.03, 1,345.15 and 411.49 is: 616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.03 : 1,345.15 = 411.49 : x
  2. Step 2: Convert to fraction form
    898.03/1,345.15 = 411.49/x
  3. Step 3: Cross multiply
    898.03x = 1,345.15 × 411.49
  4. Step 4: Simplify right side
    898.03x = 553,506.99
  5. Step 5: Solve for x
    x = 553,506.99/898.03
  6. Step 6: Final answer
    x = 616.36

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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.