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Finding the Fourth Proportional to 857.76, 1,182.47 and 525.98

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Solution

The fourth proportional to 857.76, 1,182.47 and 525.98 is: 725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.76 : 1,182.47 = 525.98 : x
  2. Step 2: Convert to fraction form
    857.76/1,182.47 = 525.98/x
  3. Step 3: Cross multiply
    857.76x = 1,182.47 × 525.98
  4. Step 4: Simplify right side
    857.76x = 621,947.03
  5. Step 5: Solve for x
    x = 621,947.03/857.76
  6. Step 6: Final answer
    x = 725.08

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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.