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Finding the Fourth Proportional to 581.18, 798.46 and 470.31

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Solution

The fourth proportional to 581.18, 798.46 and 470.31 is: 646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.18 : 798.46 = 470.31 : x
  2. Step 2: Convert to fraction form
    581.18/798.46 = 470.31/x
  3. Step 3: Cross multiply
    581.18x = 798.46 × 470.31
  4. Step 4: Simplify right side
    581.18x = 375,519.55
  5. Step 5: Solve for x
    x = 375,519.55/581.18
  6. Step 6: Final answer
    x = 646.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.