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Finding the Fourth Proportional to 578.64, 867.93 and 145.77

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Solution

The fourth proportional to 578.64, 867.93 and 145.77 is: 218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.64 : 867.93 = 145.77 : x
  2. Step 2: Convert to fraction form
    578.64/867.93 = 145.77/x
  3. Step 3: Cross multiply
    578.64x = 867.93 × 145.77
  4. Step 4: Simplify right side
    578.64x = 126,518.16
  5. Step 5: Solve for x
    x = 126,518.16/578.64
  6. Step 6: Final answer
    x = 218.65

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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.