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Finding the Fourth Proportional to 491.99, 734.39 and 433.61

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Solution

The fourth proportional to 491.99, 734.39 and 433.61 is: 647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.99 : 734.39 = 433.61 : x
  2. Step 2: Convert to fraction form
    491.99/734.39 = 433.61/x
  3. Step 3: Cross multiply
    491.99x = 734.39 × 433.61
  4. Step 4: Simplify right side
    491.99x = 318,433.95
  5. Step 5: Solve for x
    x = 318,433.95/491.99
  6. Step 6: Final answer
    x = 647.24

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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.