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Finding the Fourth Proportional to 666.53, 919.00 and 469.70

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Solution

The fourth proportional to 666.53, 919.00 and 469.70 is: 647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.53 : 919.00 = 469.70 : x
  2. Step 2: Convert to fraction form
    666.53/919.00 = 469.70/x
  3. Step 3: Cross multiply
    666.53x = 919.00 × 469.70
  4. Step 4: Simplify right side
    666.53x = 431,651.10
  5. Step 5: Solve for x
    x = 431,651.10/666.53
  6. Step 6: Final answer
    x = 647.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.