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Finding the Fourth Proportional to 581.08, 867.80 and 465.70

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Solution

The fourth proportional to 581.08, 867.80 and 465.70 is: 695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.08 : 867.80 = 465.70 : x
  2. Step 2: Convert to fraction form
    581.08/867.80 = 465.70/x
  3. Step 3: Cross multiply
    581.08x = 867.80 × 465.70
  4. Step 4: Simplify right side
    581.08x = 404,134.46
  5. Step 5: Solve for x
    x = 404,134.46/581.08
  6. Step 6: Final answer
    x = 695.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.