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Finding the Fourth Proportional to 526.42, 785.03 and 521.56

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Solution

The fourth proportional to 526.42, 785.03 and 521.56 is: 777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.42 : 785.03 = 521.56 : x
  2. Step 2: Convert to fraction form
    526.42/785.03 = 521.56/x
  3. Step 3: Cross multiply
    526.42x = 785.03 × 521.56
  4. Step 4: Simplify right side
    526.42x = 409,440.25
  5. Step 5: Solve for x
    x = 409,440.25/526.42
  6. Step 6: Final answer
    x = 777.78

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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.