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Finding the Fourth Proportional to 526.56, 785.13 and 520.17

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Solution

The fourth proportional to 526.56, 785.13 and 520.17 is: 775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.56 : 785.13 = 520.17 : x
  2. Step 2: Convert to fraction form
    526.56/785.13 = 520.17/x
  3. Step 3: Cross multiply
    526.56x = 785.13 × 520.17
  4. Step 4: Simplify right side
    526.56x = 408,401.07
  5. Step 5: Solve for x
    x = 408,401.07/526.56
  6. Step 6: Final answer
    x = 775.60

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Why These Related Problems?

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