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Finding the Fourth Proportional to 1,125.72, 1,552.73 and 978.10

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Solution

The fourth proportional to 1,125.72, 1,552.73 and 978.10 is: 1,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.72 : 1,552.73 = 978.10 : x
  2. Step 2: Convert to fraction form
    1,125.72/1,552.73 = 978.10/x
  3. Step 3: Cross multiply
    1,125.72x = 1,552.73 × 978.10
  4. Step 4: Simplify right side
    1,125.72x = 1,518,716.44
  5. Step 5: Solve for x
    x = 1,518,716.44/1,125.72
  6. Step 6: Final answer
    x = 1,349.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.