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Finding the Fourth Proportional to 585.04, 876.40 and 438.95

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Solution

The fourth proportional to 585.04, 876.40 and 438.95 is: 657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.04 : 876.40 = 438.95 : x
  2. Step 2: Convert to fraction form
    585.04/876.40 = 438.95/x
  3. Step 3: Cross multiply
    585.04x = 876.40 × 438.95
  4. Step 4: Simplify right side
    585.04x = 384,696.57
  5. Step 5: Solve for x
    x = 384,696.57/585.04
  6. Step 6: Final answer
    x = 657.56

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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.