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Finding the Fourth Proportional to 954.17, 1,427.60 and 543.50

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Solution

The fourth proportional to 954.17, 1,427.60 and 543.50 is: 813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.17 : 1,427.60 = 543.50 : x
  2. Step 2: Convert to fraction form
    954.17/1,427.60 = 543.50/x
  3. Step 3: Cross multiply
    954.17x = 1,427.60 × 543.50
  4. Step 4: Simplify right side
    954.17x = 775,890.74
  5. Step 5: Solve for x
    x = 775,890.74/954.17
  6. Step 6: Final answer
    x = 813.16

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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.