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Finding the Fourth Proportional to 947.66, 1,307.39 and 549.25

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Solution

The fourth proportional to 947.66, 1,307.39 and 549.25 is: 757.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.66 : 1,307.39 = 549.25 : x
  2. Step 2: Convert to fraction form
    947.66/1,307.39 = 549.25/x
  3. Step 3: Cross multiply
    947.66x = 1,307.39 × 549.25
  4. Step 4: Simplify right side
    947.66x = 718,082.06
  5. Step 5: Solve for x
    x = 718,082.06/947.66
  6. Step 6: Final answer
    x = 757.74

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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.