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Finding the Fourth Proportional to 590.99, 815.74 and 473.78

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Solution

The fourth proportional to 590.99, 815.74 and 473.78 is: 653.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.99 : 815.74 = 473.78 : x
  2. Step 2: Convert to fraction form
    590.99/815.74 = 473.78/x
  3. Step 3: Cross multiply
    590.99x = 815.74 × 473.78
  4. Step 4: Simplify right side
    590.99x = 386,482.15
  5. Step 5: Solve for x
    x = 386,482.15/590.99
  6. Step 6: Final answer
    x = 653.95

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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.