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Finding the Fourth Proportional to 947.20, 1,307.52 and 598.08

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Solution

The fourth proportional to 947.20, 1,307.52 and 598.08 is: 825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.20 : 1,307.52 = 598.08 : x
  2. Step 2: Convert to fraction form
    947.20/1,307.52 = 598.08/x
  3. Step 3: Cross multiply
    947.20x = 1,307.52 × 598.08
  4. Step 4: Simplify right side
    947.20x = 782,001.56
  5. Step 5: Solve for x
    x = 782,001.56/947.20
  6. Step 6: Final answer
    x = 825.59

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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.