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Finding the Fourth Proportional to 830.48, 1,243.88 and 555.27

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Solution

The fourth proportional to 830.48, 1,243.88 and 555.27 is: 831.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.48 : 1,243.88 = 555.27 : x
  2. Step 2: Convert to fraction form
    830.48/1,243.88 = 555.27/x
  3. Step 3: Cross multiply
    830.48x = 1,243.88 × 555.27
  4. Step 4: Simplify right side
    830.48x = 690,686.47
  5. Step 5: Solve for x
    x = 690,686.47/830.48
  6. Step 6: Final answer
    x = 831.68

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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.