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Finding the Fourth Proportional to 586.88, 809.13 and 365.43

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Solution

The fourth proportional to 586.88, 809.13 and 365.43 is: 503.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.88 : 809.13 = 365.43 : x
  2. Step 2: Convert to fraction form
    586.88/809.13 = 365.43/x
  3. Step 3: Cross multiply
    586.88x = 809.13 × 365.43
  4. Step 4: Simplify right side
    586.88x = 295,680.38
  5. Step 5: Solve for x
    x = 295,680.38/586.88
  6. Step 6: Final answer
    x = 503.82

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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.