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Finding the Fourth Proportional to 839.07, 1,157.33 and 524.51

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Solution

The fourth proportional to 839.07, 1,157.33 and 524.51 is: 723.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.07 : 1,157.33 = 524.51 : x
  2. Step 2: Convert to fraction form
    839.07/1,157.33 = 524.51/x
  3. Step 3: Cross multiply
    839.07x = 1,157.33 × 524.51
  4. Step 4: Simplify right side
    839.07x = 607,022.75
  5. Step 5: Solve for x
    x = 607,022.75/839.07
  6. Step 6: Final answer
    x = 723.45

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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.