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Finding the Fourth Proportional to 586.88, 809.96 and 354.08

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Solution

The fourth proportional to 586.88, 809.96 and 354.08 is: 488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.88 : 809.96 = 354.08 : x
  2. Step 2: Convert to fraction form
    586.88/809.96 = 354.08/x
  3. Step 3: Cross multiply
    586.88x = 809.96 × 354.08
  4. Step 4: Simplify right side
    586.88x = 286,790.64
  5. Step 5: Solve for x
    x = 286,790.64/586.88
  6. Step 6: Final answer
    x = 488.67

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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.