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Finding the Fourth Proportional to 643.32, 959.58 and 585

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Solution

The fourth proportional to 643.32, 959.58 and 585 is: 872.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.32 : 959.58 = 585 : x
  2. Step 2: Convert to fraction form
    643.32/959.58 = 585/x
  3. Step 3: Cross multiply
    643.32x = 959.58 × 585
  4. Step 4: Simplify right side
    643.32x = 561,354.30
  5. Step 5: Solve for x
    x = 561,354.30/643.32
  6. Step 6: Final answer
    x = 872.59

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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.