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Finding the Fourth Proportional to 520.34, 780.08 and 260.02

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Solution

The fourth proportional to 520.34, 780.08 and 260.02 is: 389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.34 : 780.08 = 260.02 : x
  2. Step 2: Convert to fraction form
    520.34/780.08 = 260.02/x
  3. Step 3: Cross multiply
    520.34x = 780.08 × 260.02
  4. Step 4: Simplify right side
    520.34x = 202,836.08
  5. Step 5: Solve for x
    x = 202,836.08/520.34
  6. Step 6: Final answer
    x = 389.82

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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.