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Finding the Fourth Proportional to 947.22, 1,307.12 and 527.60

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Solution

The fourth proportional to 947.22, 1,307.12 and 527.60 is: 728.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.22 : 1,307.12 = 527.60 : x
  2. Step 2: Convert to fraction form
    947.22/1,307.12 = 527.60/x
  3. Step 3: Cross multiply
    947.22x = 1,307.12 × 527.60
  4. Step 4: Simplify right side
    947.22x = 689,636.51
  5. Step 5: Solve for x
    x = 689,636.51/947.22
  6. Step 6: Final answer
    x = 728.06

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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.