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Finding the Fourth Proportional to 946.95, 1,307.07 and 615.41

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Solution

The fourth proportional to 946.95, 1,307.07 and 615.41 is: 849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.95 : 1,307.07 = 615.41 : x
  2. Step 2: Convert to fraction form
    946.95/1,307.07 = 615.41/x
  3. Step 3: Cross multiply
    946.95x = 1,307.07 × 615.41
  4. Step 4: Simplify right side
    946.95x = 804,383.95
  5. Step 5: Solve for x
    x = 804,383.95/946.95
  6. Step 6: Final answer
    x = 849.45

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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.