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Finding the Fourth Proportional to 590.97, 815.12 and 433.65

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Solution

The fourth proportional to 590.97, 815.12 and 433.65 is: 598.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.97 : 815.12 = 433.65 : x
  2. Step 2: Convert to fraction form
    590.97/815.12 = 433.65/x
  3. Step 3: Cross multiply
    590.97x = 815.12 × 433.65
  4. Step 4: Simplify right side
    590.97x = 353,474.62
  5. Step 5: Solve for x
    x = 353,474.62/590.97
  6. Step 6: Final answer
    x = 598.13

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Double scale
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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.