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Finding the Fourth Proportional to 475.07, 649.96 and 473.02

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Solution

The fourth proportional to 475.07, 649.96 and 473.02 is: 647.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.07 : 649.96 = 473.02 : x
  2. Step 2: Convert to fraction form
    475.07/649.96 = 473.02/x
  3. Step 3: Cross multiply
    475.07x = 649.96 × 473.02
  4. Step 4: Simplify right side
    475.07x = 307,444.08
  5. Step 5: Solve for x
    x = 307,444.08/475.07
  6. Step 6: Final answer
    x = 647.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.