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Finding the Fourth Proportional to 1,032.63, 1,547.42 and 947.78

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Solution

The fourth proportional to 1,032.63, 1,547.42 and 947.78 is: 1,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.63 : 1,547.42 = 947.78 : x
  2. Step 2: Convert to fraction form
    1,032.63/1,547.42 = 947.78/x
  3. Step 3: Cross multiply
    1,032.63x = 1,547.42 × 947.78
  4. Step 4: Simplify right side
    1,032.63x = 1,466,613.73
  5. Step 5: Solve for x
    x = 1,466,613.73/1,032.63
  6. Step 6: Final answer
    x = 1,420.27

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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.