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Finding the Fourth Proportional to 898.14, 1,344.78 and 715.08

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Solution

The fourth proportional to 898.14, 1,344.78 and 715.08 is: 1,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.14 : 1,344.78 = 715.08 : x
  2. Step 2: Convert to fraction form
    898.14/1,344.78 = 715.08/x
  3. Step 3: Cross multiply
    898.14x = 1,344.78 × 715.08
  4. Step 4: Simplify right side
    898.14x = 961,625.28
  5. Step 5: Solve for x
    x = 961,625.28/898.14
  6. Step 6: Final answer
    x = 1,070.69

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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.