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Finding the Fourth Proportional to 947.62, 1,307.23 and 653.05

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Solution

The fourth proportional to 947.62, 1,307.23 and 653.05 is: 900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.62 : 1,307.23 = 653.05 : x
  2. Step 2: Convert to fraction form
    947.62/1,307.23 = 653.05/x
  3. Step 3: Cross multiply
    947.62x = 1,307.23 × 653.05
  4. Step 4: Simplify right side
    947.62x = 853,686.55
  5. Step 5: Solve for x
    x = 853,686.55/947.62
  6. Step 6: Final answer
    x = 900.87

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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.