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Finding the Fourth Proportional to 1,148.72, 1,718.96 and 995.16

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Solution

The fourth proportional to 1,148.72, 1,718.96 and 995.16 is: 1,489.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.72 : 1,718.96 = 995.16 : x
  2. Step 2: Convert to fraction form
    1,148.72/1,718.96 = 995.16/x
  3. Step 3: Cross multiply
    1,148.72x = 1,718.96 × 995.16
  4. Step 4: Simplify right side
    1,148.72x = 1,710,635.26
  5. Step 5: Solve for x
    x = 1,710,635.26/1,148.72
  6. Step 6: Final answer
    x = 1,489.17

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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.