Home / 1,030.95-1,422.81-589.05

Finding the Fourth Proportional to 1,030.95, 1,422.81 and 589.05

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Solution

The fourth proportional to 1,030.95, 1,422.81 and 589.05 is: 812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.95 : 1,422.81 = 589.05 : x
  2. Step 2: Convert to fraction form
    1,030.95/1,422.81 = 589.05/x
  3. Step 3: Cross multiply
    1,030.95x = 1,422.81 × 589.05
  4. Step 4: Simplify right side
    1,030.95x = 838,106.23
  5. Step 5: Solve for x
    x = 838,106.23/1,030.95
  6. Step 6: Final answer
    x = 812.95

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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.