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Finding the Fourth Proportional to 743.84, 1,026.62 and 711.03

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Solution

The fourth proportional to 743.84, 1,026.62 and 711.03 is: 981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.84 : 1,026.62 = 711.03 : x
  2. Step 2: Convert to fraction form
    743.84/1,026.62 = 711.03/x
  3. Step 3: Cross multiply
    743.84x = 1,026.62 × 711.03
  4. Step 4: Simplify right side
    743.84x = 729,957.62
  5. Step 5: Solve for x
    x = 729,957.62/743.84
  6. Step 6: Final answer
    x = 981.34

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Double scale
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1.5x scale

Why These Related Problems?

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