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Finding the Fourth Proportional to 1,870.52, 2,805.80 and 716

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Solution

The fourth proportional to 1,870.52, 2,805.80 and 716 is: 1,074.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.52 : 2,805.80 = 716 : x
  2. Step 2: Convert to fraction form
    1,870.52/2,805.80 = 716/x
  3. Step 3: Cross multiply
    1,870.52x = 2,805.80 × 716
  4. Step 4: Simplify right side
    1,870.52x = 2,008,952.80
  5. Step 5: Solve for x
    x = 2,008,952.80/1,870.52
  6. Step 6: Final answer
    x = 1,074.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.