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Finding the Fourth Proportional to 978.11, 1,466.13 and 457.67

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Solution

The fourth proportional to 978.11, 1,466.13 and 457.67 is: 686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.11 : 1,466.13 = 457.67 : x
  2. Step 2: Convert to fraction form
    978.11/1,466.13 = 457.67/x
  3. Step 3: Cross multiply
    978.11x = 1,466.13 × 457.67
  4. Step 4: Simplify right side
    978.11x = 671,001.20
  5. Step 5: Solve for x
    x = 671,001.20/978.11
  6. Step 6: Final answer
    x = 686.02

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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.