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Finding the Fourth Proportional to 590.77, 886.43 and 302.41

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Solution

The fourth proportional to 590.77, 886.43 and 302.41 is: 453.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.77 : 886.43 = 302.41 : x
  2. Step 2: Convert to fraction form
    590.77/886.43 = 302.41/x
  3. Step 3: Cross multiply
    590.77x = 886.43 × 302.41
  4. Step 4: Simplify right side
    590.77x = 268,059.35
  5. Step 5: Solve for x
    x = 268,059.35/590.77
  6. Step 6: Final answer
    x = 453.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.