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Finding the Fourth Proportional to 839.74, 1,159.40 and 525.48

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Solution

The fourth proportional to 839.74, 1,159.40 and 525.48 is: 725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.74 : 1,159.40 = 525.48 : x
  2. Step 2: Convert to fraction form
    839.74/1,159.40 = 525.48/x
  3. Step 3: Cross multiply
    839.74x = 1,159.40 × 525.48
  4. Step 4: Simplify right side
    839.74x = 609,241.51
  5. Step 5: Solve for x
    x = 609,241.51/839.74
  6. Step 6: Final answer
    x = 725.51

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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.