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Finding the Fourth Proportional to 440.13, 657.15 and 435.75

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Solution

The fourth proportional to 440.13, 657.15 and 435.75 is: 650.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.13 : 657.15 = 435.75 : x
  2. Step 2: Convert to fraction form
    440.13/657.15 = 435.75/x
  3. Step 3: Cross multiply
    440.13x = 657.15 × 435.75
  4. Step 4: Simplify right side
    440.13x = 286,349.01
  5. Step 5: Solve for x
    x = 286,349.01/440.13
  6. Step 6: Final answer
    x = 650.60

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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.