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Finding the Fourth Proportional to 555.78, 766.34 and 415.67

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Solution

The fourth proportional to 555.78, 766.34 and 415.67 is: 573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.78 : 766.34 = 415.67 : x
  2. Step 2: Convert to fraction form
    555.78/766.34 = 415.67/x
  3. Step 3: Cross multiply
    555.78x = 766.34 × 415.67
  4. Step 4: Simplify right side
    555.78x = 318,538.64
  5. Step 5: Solve for x
    x = 318,538.64/555.78
  6. Step 6: Final answer
    x = 573.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.