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Finding the Fourth Proportional to 741.84, 1,106.19 and 691.58

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Solution

The fourth proportional to 741.84, 1,106.19 and 691.58 is: 1,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.84 : 1,106.19 = 691.58 : x
  2. Step 2: Convert to fraction form
    741.84/1,106.19 = 691.58/x
  3. Step 3: Cross multiply
    741.84x = 1,106.19 × 691.58
  4. Step 4: Simplify right side
    741.84x = 765,013.35
  5. Step 5: Solve for x
    x = 765,013.35/741.84
  6. Step 6: Final answer
    x = 1,031.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.