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Finding the Fourth Proportional to 1,260.80, 1,882.70 and 1,030.15

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Solution

The fourth proportional to 1,260.80, 1,882.70 and 1,030.15 is: 1,538.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.80 : 1,882.70 = 1,030.15 : x
  2. Step 2: Convert to fraction form
    1,260.80/1,882.70 = 1,030.15/x
  3. Step 3: Cross multiply
    1,260.80x = 1,882.70 × 1,030.15
  4. Step 4: Simplify right side
    1,260.80x = 1,939,463.41
  5. Step 5: Solve for x
    x = 1,939,463.41/1,260.80
  6. Step 6: Final answer
    x = 1,538.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.