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Finding the Fourth Proportional to 724.79, 999.81 and 430.01

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Solution

The fourth proportional to 724.79, 999.81 and 430.01 is: 593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.79 : 999.81 = 430.01 : x
  2. Step 2: Convert to fraction form
    724.79/999.81 = 430.01/x
  3. Step 3: Cross multiply
    724.79x = 999.81 × 430.01
  4. Step 4: Simplify right side
    724.79x = 429,923.30
  5. Step 5: Solve for x
    x = 429,923.30/724.79
  6. Step 6: Final answer
    x = 593.17

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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.