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Finding the Fourth Proportional to 542.40, 808.80 and 520.80

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Solution

The fourth proportional to 542.40, 808.80 and 520.80 is: 776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.40 : 808.80 = 520.80 : x
  2. Step 2: Convert to fraction form
    542.40/808.80 = 520.80/x
  3. Step 3: Cross multiply
    542.40x = 808.80 × 520.80
  4. Step 4: Simplify right side
    542.40x = 421,223.04
  5. Step 5: Solve for x
    x = 421,223.04/542.40
  6. Step 6: Final answer
    x = 776.59

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