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Finding the Fourth Proportional to 728.84, 1,005.72 and 434.06

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Solution

The fourth proportional to 728.84, 1,005.72 and 434.06 is: 598.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.84 : 1,005.72 = 434.06 : x
  2. Step 2: Convert to fraction form
    728.84/1,005.72 = 434.06/x
  3. Step 3: Cross multiply
    728.84x = 1,005.72 × 434.06
  4. Step 4: Simplify right side
    728.84x = 436,542.82
  5. Step 5: Solve for x
    x = 436,542.82/728.84
  6. Step 6: Final answer
    x = 598.96

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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.