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Finding the Fourth Proportional to 1,270.35, 1,752.98 and 710.78

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Solution

The fourth proportional to 1,270.35, 1,752.98 and 710.78 is: 980.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.35 : 1,752.98 = 710.78 : x
  2. Step 2: Convert to fraction form
    1,270.35/1,752.98 = 710.78/x
  3. Step 3: Cross multiply
    1,270.35x = 1,752.98 × 710.78
  4. Step 4: Simplify right side
    1,270.35x = 1,245,970.81
  5. Step 5: Solve for x
    x = 1,245,970.81/1,270.35
  6. Step 6: Final answer
    x = 980.81

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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.