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Finding the Fourth Proportional to 857.40, 1,182.98 and 507.96

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Solution

The fourth proportional to 857.40, 1,182.98 and 507.96 is: 700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.40 : 1,182.98 = 507.96 : x
  2. Step 2: Convert to fraction form
    857.40/1,182.98 = 507.96/x
  3. Step 3: Cross multiply
    857.40x = 1,182.98 × 507.96
  4. Step 4: Simplify right side
    857.40x = 600,906.52
  5. Step 5: Solve for x
    x = 600,906.52/857.40
  6. Step 6: Final answer
    x = 700.85

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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.