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Finding the Fourth Proportional to 463.19, 691.70 and 436.19

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Solution

The fourth proportional to 463.19, 691.70 and 436.19 is: 651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.19 : 691.70 = 436.19 : x
  2. Step 2: Convert to fraction form
    463.19/691.70 = 436.19/x
  3. Step 3: Cross multiply
    463.19x = 691.70 × 436.19
  4. Step 4: Simplify right side
    463.19x = 301,712.62
  5. Step 5: Solve for x
    x = 301,712.62/463.19
  6. Step 6: Final answer
    x = 651.38

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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.