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Finding the Fourth Proportional to 691.40, 1,035.58 and 447.19

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Solution

The fourth proportional to 691.40, 1,035.58 and 447.19 is: 669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.40 : 1,035.58 = 447.19 : x
  2. Step 2: Convert to fraction form
    691.40/1,035.58 = 447.19/x
  3. Step 3: Cross multiply
    691.40x = 1,035.58 × 447.19
  4. Step 4: Simplify right side
    691.40x = 463,101.02
  5. Step 5: Solve for x
    x = 463,101.02/691.40
  6. Step 6: Final answer
    x = 669.80

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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.