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Finding the Fourth Proportional to 947.04, 1,307.10 and 527.52

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Solution

The fourth proportional to 947.04, 1,307.10 and 527.52 is: 728.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.04 : 1,307.10 = 527.52 : x
  2. Step 2: Convert to fraction form
    947.04/1,307.10 = 527.52/x
  3. Step 3: Cross multiply
    947.04x = 1,307.10 × 527.52
  4. Step 4: Simplify right side
    947.04x = 689,521.39
  5. Step 5: Solve for x
    x = 689,521.39/947.04
  6. Step 6: Final answer
    x = 728.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.