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Finding the Fourth Proportional to 947.62, 1,312.78 and 924.94

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Solution

The fourth proportional to 947.62, 1,312.78 and 924.94 is: 1,281.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.62 : 1,312.78 = 924.94 : x
  2. Step 2: Convert to fraction form
    947.62/1,312.78 = 924.94/x
  3. Step 3: Cross multiply
    947.62x = 1,312.78 × 924.94
  4. Step 4: Simplify right side
    947.62x = 1,214,236.17
  5. Step 5: Solve for x
    x = 1,214,236.17/947.62
  6. Step 6: Final answer
    x = 1,281.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.