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Finding the Fourth Proportional to 1,439.53, 1,986.66 and 810.07

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Solution

The fourth proportional to 1,439.53, 1,986.66 and 810.07 is: 1,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.53 : 1,986.66 = 810.07 : x
  2. Step 2: Convert to fraction form
    1,439.53/1,986.66 = 810.07/x
  3. Step 3: Cross multiply
    1,439.53x = 1,986.66 × 810.07
  4. Step 4: Simplify right side
    1,439.53x = 1,609,328.70
  5. Step 5: Solve for x
    x = 1,609,328.70/1,439.53
  6. Step 6: Final answer
    x = 1,117.96

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1.5x scale

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.