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Finding the Fourth Proportional to 586.96, 808.26 and 420.88

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Solution

The fourth proportional to 586.96, 808.26 and 420.88 is: 579.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.96 : 808.26 = 420.88 : x
  2. Step 2: Convert to fraction form
    586.96/808.26 = 420.88/x
  3. Step 3: Cross multiply
    586.96x = 808.26 × 420.88
  4. Step 4: Simplify right side
    586.96x = 340,180.47
  5. Step 5: Solve for x
    x = 340,180.47/586.96
  6. Step 6: Final answer
    x = 579.56

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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.