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Finding the Fourth Proportional to 725.70, 1,001.57 and 505.63

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Solution

The fourth proportional to 725.70, 1,001.57 and 505.63 is: 697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.70 : 1,001.57 = 505.63 : x
  2. Step 2: Convert to fraction form
    725.70/1,001.57 = 505.63/x
  3. Step 3: Cross multiply
    725.70x = 1,001.57 × 505.63
  4. Step 4: Simplify right side
    725.70x = 506,423.84
  5. Step 5: Solve for x
    x = 506,423.84/725.70
  6. Step 6: Final answer
    x = 697.84

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1.5x scale

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.