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Finding the Fourth Proportional to 992.16, 1,369.20 and 578.40

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Solution

The fourth proportional to 992.16, 1,369.20 and 578.40 is: 798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.16 : 1,369.20 = 578.40 : x
  2. Step 2: Convert to fraction form
    992.16/1,369.20 = 578.40/x
  3. Step 3: Cross multiply
    992.16x = 1,369.20 × 578.40
  4. Step 4: Simplify right side
    992.16x = 791,945.28
  5. Step 5: Solve for x
    x = 791,945.28/992.16
  6. Step 6: Final answer
    x = 798.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.