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Finding the Fourth Proportional to 630.10, 945.15 and 435.70

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Solution

The fourth proportional to 630.10, 945.15 and 435.70 is: 653.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.10 : 945.15 = 435.70 : x
  2. Step 2: Convert to fraction form
    630.10/945.15 = 435.70/x
  3. Step 3: Cross multiply
    630.10x = 945.15 × 435.70
  4. Step 4: Simplify right side
    630.10x = 411,801.86
  5. Step 5: Solve for x
    x = 411,801.86/630.10
  6. Step 6: Final answer
    x = 653.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.