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Finding the Fourth Proportional to 978.07, 1,467.13 and 457.94

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Solution

The fourth proportional to 978.07, 1,467.13 and 457.94 is: 686.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.07 : 1,467.13 = 457.94 : x
  2. Step 2: Convert to fraction form
    978.07/1,467.13 = 457.94/x
  3. Step 3: Cross multiply
    978.07x = 1,467.13 × 457.94
  4. Step 4: Simplify right side
    978.07x = 671,860.04
  5. Step 5: Solve for x
    x = 671,860.04/978.07
  6. Step 6: Final answer
    x = 686.93

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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.