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Finding the Fourth Proportional to 946.49, 1,305.52 and 615.20

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Solution

The fourth proportional to 946.49, 1,305.52 and 615.20 is: 848.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.49 : 1,305.52 = 615.20 : x
  2. Step 2: Convert to fraction form
    946.49/1,305.52 = 615.20/x
  3. Step 3: Cross multiply
    946.49x = 1,305.52 × 615.20
  4. Step 4: Simplify right side
    946.49x = 803,147.84
  5. Step 5: Solve for x
    x = 803,147.84/946.49
  6. Step 6: Final answer
    x = 848.56

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.