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Finding the Fourth Proportional to 978.13, 1,459.61 and 874.30

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Solution

The fourth proportional to 978.13, 1,459.61 and 874.30 is: 1,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.13 : 1,459.61 = 874.30 : x
  2. Step 2: Convert to fraction form
    978.13/1,459.61 = 874.30/x
  3. Step 3: Cross multiply
    978.13x = 1,459.61 × 874.30
  4. Step 4: Simplify right side
    978.13x = 1,276,137.02
  5. Step 5: Solve for x
    x = 1,276,137.02/978.13
  6. Step 6: Final answer
    x = 1,304.67

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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.