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Finding the Fourth Proportional to 2,870.84, 4,306.27 and 790.95

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Solution

The fourth proportional to 2,870.84, 4,306.27 and 790.95 is: 1,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.84 : 4,306.27 = 790.95 : x
  2. Step 2: Convert to fraction form
    2,870.84/4,306.27 = 790.95/x
  3. Step 3: Cross multiply
    2,870.84x = 4,306.27 × 790.95
  4. Step 4: Simplify right side
    2,870.84x = 3,406,044.26
  5. Step 5: Solve for x
    x = 3,406,044.26/2,870.84
  6. Step 6: Final answer
    x = 1,186.43

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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.