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Finding the Fourth Proportional to 518.30, 780.74 and 474.02

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Solution

The fourth proportional to 518.30, 780.74 and 474.02 is: 714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.30 : 780.74 = 474.02 : x
  2. Step 2: Convert to fraction form
    518.30/780.74 = 474.02/x
  3. Step 3: Cross multiply
    518.30x = 780.74 × 474.02
  4. Step 4: Simplify right side
    518.30x = 370,086.37
  5. Step 5: Solve for x
    x = 370,086.37/518.30
  6. Step 6: Final answer
    x = 714.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.