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Finding the Fourth Proportional to 525.59, 787.29 and 386.67

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Solution

The fourth proportional to 525.59, 787.29 and 386.67 is: 579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.59 : 787.29 = 386.67 : x
  2. Step 2: Convert to fraction form
    525.59/787.29 = 386.67/x
  3. Step 3: Cross multiply
    525.59x = 787.29 × 386.67
  4. Step 4: Simplify right side
    525.59x = 304,422.93
  5. Step 5: Solve for x
    x = 304,422.93/525.59
  6. Step 6: Final answer
    x = 579.20

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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.