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Finding the Fourth Proportional to 962.36, 1,328.08 and 542.80

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Solution

The fourth proportional to 962.36, 1,328.08 and 542.80 is: 749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.36 : 1,328.08 = 542.80 : x
  2. Step 2: Convert to fraction form
    962.36/1,328.08 = 542.80/x
  3. Step 3: Cross multiply
    962.36x = 1,328.08 × 542.80
  4. Step 4: Simplify right side
    962.36x = 720,881.82
  5. Step 5: Solve for x
    x = 720,881.82/962.36
  6. Step 6: Final answer
    x = 749.08

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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.