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Finding the Fourth Proportional to 479.91, 660.65 and 430.77

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Solution

The fourth proportional to 479.91, 660.65 and 430.77 is: 593.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.91 : 660.65 = 430.77 : x
  2. Step 2: Convert to fraction form
    479.91/660.65 = 430.77/x
  3. Step 3: Cross multiply
    479.91x = 660.65 × 430.77
  4. Step 4: Simplify right side
    479.91x = 284,586.05
  5. Step 5: Solve for x
    x = 284,586.05/479.91
  6. Step 6: Final answer
    x = 593.00

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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.