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Finding the Fourth Proportional to 731.84, 1,010.72 and 456

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Solution

The fourth proportional to 731.84, 1,010.72 and 456 is: 629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.84 : 1,010.72 = 456 : x
  2. Step 2: Convert to fraction form
    731.84/1,010.72 = 456/x
  3. Step 3: Cross multiply
    731.84x = 1,010.72 × 456
  4. Step 4: Simplify right side
    731.84x = 460,888.32
  5. Step 5: Solve for x
    x = 460,888.32/731.84
  6. Step 6: Final answer
    x = 629.77

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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.