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Finding the Fourth Proportional to 1,202.48, 1,798.52 and 707.71

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Solution

The fourth proportional to 1,202.48, 1,798.52 and 707.71 is: 1,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.48 : 1,798.52 = 707.71 : x
  2. Step 2: Convert to fraction form
    1,202.48/1,798.52 = 707.71/x
  3. Step 3: Cross multiply
    1,202.48x = 1,798.52 × 707.71
  4. Step 4: Simplify right side
    1,202.48x = 1,272,831.98
  5. Step 5: Solve for x
    x = 1,272,831.98/1,202.48
  6. Step 6: Final answer
    x = 1,058.50

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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.