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Finding the Fourth Proportional to 590.77, 815.20 and 342.06

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Solution

The fourth proportional to 590.77, 815.20 and 342.06 is: 472.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.77 : 815.20 = 342.06 : x
  2. Step 2: Convert to fraction form
    590.77/815.20 = 342.06/x
  3. Step 3: Cross multiply
    590.77x = 815.20 × 342.06
  4. Step 4: Simplify right side
    590.77x = 278,847.20
  5. Step 5: Solve for x
    x = 278,847.20/590.77
  6. Step 6: Final answer
    x = 472.00

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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.