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Finding the Fourth Proportional to 898.53, 1,345.90 and 411.99

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Solution

The fourth proportional to 898.53, 1,345.90 and 411.99 is: 617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.53 : 1,345.90 = 411.99 : x
  2. Step 2: Convert to fraction form
    898.53/1,345.90 = 411.99/x
  3. Step 3: Cross multiply
    898.53x = 1,345.90 × 411.99
  4. Step 4: Simplify right side
    898.53x = 554,497.34
  5. Step 5: Solve for x
    x = 554,497.34/898.53
  6. Step 6: Final answer
    x = 617.12

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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.