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Finding the Fourth Proportional to 1,122.95, 1,681.98 and 711.06

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Solution

The fourth proportional to 1,122.95, 1,681.98 and 711.06 is: 1,065.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.95 : 1,681.98 = 711.06 : x
  2. Step 2: Convert to fraction form
    1,122.95/1,681.98 = 711.06/x
  3. Step 3: Cross multiply
    1,122.95x = 1,681.98 × 711.06
  4. Step 4: Simplify right side
    1,122.95x = 1,195,988.70
  5. Step 5: Solve for x
    x = 1,195,988.70/1,122.95
  6. Step 6: Final answer
    x = 1,065.05

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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.