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Finding the Fourth Proportional to 655.23, 986.72 and 473.90

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Solution

The fourth proportional to 655.23, 986.72 and 473.90 is: 713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.23 : 986.72 = 473.90 : x
  2. Step 2: Convert to fraction form
    655.23/986.72 = 473.90/x
  3. Step 3: Cross multiply
    655.23x = 986.72 × 473.90
  4. Step 4: Simplify right side
    655.23x = 467,602.86
  5. Step 5: Solve for x
    x = 467,602.86/655.23
  6. Step 6: Final answer
    x = 713.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.