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Finding the Fourth Proportional to 723.86, 999.22 and 500.10

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Solution

The fourth proportional to 723.86, 999.22 and 500.10 is: 690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.86 : 999.22 = 500.10 : x
  2. Step 2: Convert to fraction form
    723.86/999.22 = 500.10/x
  3. Step 3: Cross multiply
    723.86x = 999.22 × 500.10
  4. Step 4: Simplify right side
    723.86x = 499,709.92
  5. Step 5: Solve for x
    x = 499,709.92/723.86
  6. Step 6: Final answer
    x = 690.34

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1.5x scale

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.