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Finding the Fourth Proportional to 583.76, 806.30 and 437.04

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Solution

The fourth proportional to 583.76, 806.30 and 437.04 is: 603.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.76 : 806.30 = 437.04 : x
  2. Step 2: Convert to fraction form
    583.76/806.30 = 437.04/x
  3. Step 3: Cross multiply
    583.76x = 806.30 × 437.04
  4. Step 4: Simplify right side
    583.76x = 352,385.35
  5. Step 5: Solve for x
    x = 352,385.35/583.76
  6. Step 6: Final answer
    x = 603.65

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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.