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Finding the Fourth Proportional to 449.76, 669.99 and 436.16

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Solution

The fourth proportional to 449.76, 669.99 and 436.16 is: 649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.76 : 669.99 = 436.16 : x
  2. Step 2: Convert to fraction form
    449.76/669.99 = 436.16/x
  3. Step 3: Cross multiply
    449.76x = 669.99 × 436.16
  4. Step 4: Simplify right side
    449.76x = 292,224.51
  5. Step 5: Solve for x
    x = 292,224.51/449.76
  6. Step 6: Final answer
    x = 649.73

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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.