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Finding the Fourth Proportional to 945.73, 1,417.30 and 714.43

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Solution

The fourth proportional to 945.73, 1,417.30 and 714.43 is: 1,070.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.73 : 1,417.30 = 714.43 : x
  2. Step 2: Convert to fraction form
    945.73/1,417.30 = 714.43/x
  3. Step 3: Cross multiply
    945.73x = 1,417.30 × 714.43
  4. Step 4: Simplify right side
    945.73x = 1,012,556.31
  5. Step 5: Solve for x
    x = 1,012,556.31/945.73
  6. Step 6: Final answer
    x = 1,070.66

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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.