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Finding the Fourth Proportional to 586.68, 809.64 and 353.76

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Solution

The fourth proportional to 586.68, 809.64 and 353.76 is: 488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.68 : 809.64 = 353.76 : x
  2. Step 2: Convert to fraction form
    586.68/809.64 = 353.76/x
  3. Step 3: Cross multiply
    586.68x = 809.64 × 353.76
  4. Step 4: Simplify right side
    586.68x = 286,418.25
  5. Step 5: Solve for x
    x = 286,418.25/586.68
  6. Step 6: Final answer
    x = 488.20

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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.