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Finding the Fourth Proportional to 586.90, 810.08 and 338.30

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Solution

The fourth proportional to 586.90, 810.08 and 338.30 is: 466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.90 : 810.08 = 338.30 : x
  2. Step 2: Convert to fraction form
    586.90/810.08 = 338.30/x
  3. Step 3: Cross multiply
    586.90x = 810.08 × 338.30
  4. Step 4: Simplify right side
    586.90x = 274,050.06
  5. Step 5: Solve for x
    x = 274,050.06/586.90
  6. Step 6: Final answer
    x = 466.95

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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.