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Finding the Fourth Proportional to 978.33, 1,466.46 and 457.90

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Solution

The fourth proportional to 978.33, 1,466.46 and 457.90 is: 686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.33 : 1,466.46 = 457.90 : x
  2. Step 2: Convert to fraction form
    978.33/1,466.46 = 457.90/x
  3. Step 3: Cross multiply
    978.33x = 1,466.46 × 457.90
  4. Step 4: Simplify right side
    978.33x = 671,490.08
  5. Step 5: Solve for x
    x = 671,490.08/978.33
  6. Step 6: Final answer
    x = 686.36

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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.