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Finding the Fourth Proportional to 978.01, 1,467.47 and 457.38

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Solution

The fourth proportional to 978.01, 1,467.47 and 457.38 is: 686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.01 : 1,467.47 = 457.38 : x
  2. Step 2: Convert to fraction form
    978.01/1,467.47 = 457.38/x
  3. Step 3: Cross multiply
    978.01x = 1,467.47 × 457.38
  4. Step 4: Simplify right side
    978.01x = 671,185.23
  5. Step 5: Solve for x
    x = 671,185.23/978.01
  6. Step 6: Final answer
    x = 686.28

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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.