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Finding the Fourth Proportional to 448.86, 669.52 and 435.20

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Solution

The fourth proportional to 448.86, 669.52 and 435.20 is: 649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.86 : 669.52 = 435.20 : x
  2. Step 2: Convert to fraction form
    448.86/669.52 = 435.20/x
  3. Step 3: Cross multiply
    448.86x = 669.52 × 435.20
  4. Step 4: Simplify right side
    448.86x = 291,375.10
  5. Step 5: Solve for x
    x = 291,375.10/448.86
  6. Step 6: Final answer
    x = 649.14

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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.