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Finding the Fourth Proportional to 947.27, 1,307.23 and 588.22

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Solution

The fourth proportional to 947.27, 1,307.23 and 588.22 is: 811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.27 : 1,307.23 = 588.22 : x
  2. Step 2: Convert to fraction form
    947.27/1,307.23 = 588.22/x
  3. Step 3: Cross multiply
    947.27x = 1,307.23 × 588.22
  4. Step 4: Simplify right side
    947.27x = 768,938.83
  5. Step 5: Solve for x
    x = 768,938.83/947.27
  6. Step 6: Final answer
    x = 811.74

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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.