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Finding the Fourth Proportional to 978.76, 1,459.96 and 875.08

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Solution

The fourth proportional to 978.76, 1,459.96 and 875.08 is: 1,305.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.76 : 1,459.96 = 875.08 : x
  2. Step 2: Convert to fraction form
    978.76/1,459.96 = 875.08/x
  3. Step 3: Cross multiply
    978.76x = 1,459.96 × 875.08
  4. Step 4: Simplify right side
    978.76x = 1,277,581.80
  5. Step 5: Solve for x
    x = 1,277,581.80/978.76
  6. Step 6: Final answer
    x = 1,305.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.