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Finding the Fourth Proportional to 954.59, 1,431.27 and 522.05

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Solution

The fourth proportional to 954.59, 1,431.27 and 522.05 is: 782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.59 : 1,431.27 = 522.05 : x
  2. Step 2: Convert to fraction form
    954.59/1,431.27 = 522.05/x
  3. Step 3: Cross multiply
    954.59x = 1,431.27 × 522.05
  4. Step 4: Simplify right side
    954.59x = 747,187.35
  5. Step 5: Solve for x
    x = 747,187.35/954.59
  6. Step 6: Final answer
    x = 782.74

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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.