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Finding the Fourth Proportional to 947.64, 1,307.43 and 616.50

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Solution

The fourth proportional to 947.64, 1,307.43 and 616.50 is: 850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.64 : 1,307.43 = 616.50 : x
  2. Step 2: Convert to fraction form
    947.64/1,307.43 = 616.50/x
  3. Step 3: Cross multiply
    947.64x = 1,307.43 × 616.50
  4. Step 4: Simplify right side
    947.64x = 806,030.60
  5. Step 5: Solve for x
    x = 806,030.60/947.64
  6. Step 6: Final answer
    x = 850.57

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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.