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Finding the Fourth Proportional to 578.94, 803.76 and 561.12

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Solution

The fourth proportional to 578.94, 803.76 and 561.12 is: 779.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.94 : 803.76 = 561.12 : x
  2. Step 2: Convert to fraction form
    578.94/803.76 = 561.12/x
  3. Step 3: Cross multiply
    578.94x = 803.76 × 561.12
  4. Step 4: Simplify right side
    578.94x = 451,005.81
  5. Step 5: Solve for x
    x = 451,005.81/578.94
  6. Step 6: Final answer
    x = 779.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.