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Finding the Fourth Proportional to 954.02, 1,428.90 and 542.90

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Solution

The fourth proportional to 954.02, 1,428.90 and 542.90 is: 813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.02 : 1,428.90 = 542.90 : x
  2. Step 2: Convert to fraction form
    954.02/1,428.90 = 542.90/x
  3. Step 3: Cross multiply
    954.02x = 1,428.90 × 542.90
  4. Step 4: Simplify right side
    954.02x = 775,749.81
  5. Step 5: Solve for x
    x = 775,749.81/954.02
  6. Step 6: Final answer
    x = 813.14

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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.