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Finding the Fourth Proportional to 953.12, 1,427.86 and 542.54

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Solution

The fourth proportional to 953.12, 1,427.86 and 542.54 is: 812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.12 : 1,427.86 = 542.54 : x
  2. Step 2: Convert to fraction form
    953.12/1,427.86 = 542.54/x
  3. Step 3: Cross multiply
    953.12x = 1,427.86 × 542.54
  4. Step 4: Simplify right side
    953.12x = 774,671.16
  5. Step 5: Solve for x
    x = 774,671.16/953.12
  6. Step 6: Final answer
    x = 812.77

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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.