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Finding the Fourth Proportional to 947.47, 1,307.08 and 632.43

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Solution

The fourth proportional to 947.47, 1,307.08 and 632.43 is: 872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.47 : 1,307.08 = 632.43 : x
  2. Step 2: Convert to fraction form
    947.47/1,307.08 = 632.43/x
  3. Step 3: Cross multiply
    947.47x = 1,307.08 × 632.43
  4. Step 4: Simplify right side
    947.47x = 826,636.60
  5. Step 5: Solve for x
    x = 826,636.60/947.47
  6. Step 6: Final answer
    x = 872.47

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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.