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Finding the Fourth Proportional to 619.01, 928.47 and 156.77

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Solution

The fourth proportional to 619.01, 928.47 and 156.77 is: 235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.01 : 928.47 = 156.77 : x
  2. Step 2: Convert to fraction form
    619.01/928.47 = 156.77/x
  3. Step 3: Cross multiply
    619.01x = 928.47 × 156.77
  4. Step 4: Simplify right side
    619.01x = 145,556.24
  5. Step 5: Solve for x
    x = 145,556.24/619.01
  6. Step 6: Final answer
    x = 235.14

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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.