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Finding the Fourth Proportional to 697.64, 1,046.66 and 420.30

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Solution

The fourth proportional to 697.64, 1,046.66 and 420.30 is: 630.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.64 : 1,046.66 = 420.30 : x
  2. Step 2: Convert to fraction form
    697.64/1,046.66 = 420.30/x
  3. Step 3: Cross multiply
    697.64x = 1,046.66 × 420.30
  4. Step 4: Simplify right side
    697.64x = 439,909.10
  5. Step 5: Solve for x
    x = 439,909.10/697.64
  6. Step 6: Final answer
    x = 630.57

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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.