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Finding the Fourth Proportional to 947.17, 1,417.72 and 507.33

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Solution

The fourth proportional to 947.17, 1,417.72 and 507.33 is: 759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.17 : 1,417.72 = 507.33 : x
  2. Step 2: Convert to fraction form
    947.17/1,417.72 = 507.33/x
  3. Step 3: Cross multiply
    947.17x = 1,417.72 × 507.33
  4. Step 4: Simplify right side
    947.17x = 719,251.89
  5. Step 5: Solve for x
    x = 719,251.89/947.17
  6. Step 6: Final answer
    x = 759.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.