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Finding the Fourth Proportional to 795.52, 1,192 and 578.08

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Solution

The fourth proportional to 795.52, 1,192 and 578.08 is: 866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.52 : 1,192 = 578.08 : x
  2. Step 2: Convert to fraction form
    795.52/1,192 = 578.08/x
  3. Step 3: Cross multiply
    795.52x = 1,192 × 578.08
  4. Step 4: Simplify right side
    795.52x = 689,071.36
  5. Step 5: Solve for x
    x = 689,071.36/795.52
  6. Step 6: Final answer
    x = 866.19

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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.