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Finding the Fourth Proportional to 489.99, 731.20 and 435.45

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Solution

The fourth proportional to 489.99, 731.20 and 435.45 is: 649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.99 : 731.20 = 435.45 : x
  2. Step 2: Convert to fraction form
    489.99/731.20 = 435.45/x
  3. Step 3: Cross multiply
    489.99x = 731.20 × 435.45
  4. Step 4: Simplify right side
    489.99x = 318,399.95
  5. Step 5: Solve for x
    x = 318,399.95/489.99
  6. Step 6: Final answer
    x = 649.81

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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.