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Finding the Fourth Proportional to 954.94, 1,432.68 and 378.22

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Solution

The fourth proportional to 954.94, 1,432.68 and 378.22 is: 567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.94 : 1,432.68 = 378.22 : x
  2. Step 2: Convert to fraction form
    954.94/1,432.68 = 378.22/x
  3. Step 3: Cross multiply
    954.94x = 1,432.68 × 378.22
  4. Step 4: Simplify right side
    954.94x = 541,868.23
  5. Step 5: Solve for x
    x = 541,868.23/954.94
  6. Step 6: Final answer
    x = 567.44

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Double scale
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1.5x scale

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.