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Finding the Fourth Proportional to 978.58, 1,466.76 and 457.96

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Solution

The fourth proportional to 978.58, 1,466.76 and 457.96 is: 686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.58 : 1,466.76 = 457.96 : x
  2. Step 2: Convert to fraction form
    978.58/1,466.76 = 457.96/x
  3. Step 3: Cross multiply
    978.58x = 1,466.76 × 457.96
  4. Step 4: Simplify right side
    978.58x = 671,717.41
  5. Step 5: Solve for x
    x = 671,717.41/978.58
  6. Step 6: Final answer
    x = 686.42

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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.