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Finding the Fourth Proportional to 1,048.30, 1,570.30 and 738.78

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Solution

The fourth proportional to 1,048.30, 1,570.30 and 738.78 is: 1,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.30 : 1,570.30 = 738.78 : x
  2. Step 2: Convert to fraction form
    1,048.30/1,570.30 = 738.78/x
  3. Step 3: Cross multiply
    1,048.30x = 1,570.30 × 738.78
  4. Step 4: Simplify right side
    1,048.30x = 1,160,106.23
  5. Step 5: Solve for x
    x = 1,160,106.23/1,048.30
  6. Step 6: Final answer
    x = 1,106.65

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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.