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Finding the Fourth Proportional to 978.40, 1,468.19 and 393.53

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Solution

The fourth proportional to 978.40, 1,468.19 and 393.53 is: 590.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.40 : 1,468.19 = 393.53 : x
  2. Step 2: Convert to fraction form
    978.40/1,468.19 = 393.53/x
  3. Step 3: Cross multiply
    978.40x = 1,468.19 × 393.53
  4. Step 4: Simplify right side
    978.40x = 577,776.81
  5. Step 5: Solve for x
    x = 577,776.81/978.40
  6. Step 6: Final answer
    x = 590.53

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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.