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Finding the Fourth Proportional to 589.63, 813.75 and 356.75

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Solution

The fourth proportional to 589.63, 813.75 and 356.75 is: 492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.63 : 813.75 = 356.75 : x
  2. Step 2: Convert to fraction form
    589.63/813.75 = 356.75/x
  3. Step 3: Cross multiply
    589.63x = 813.75 × 356.75
  4. Step 4: Simplify right side
    589.63x = 290,305.31
  5. Step 5: Solve for x
    x = 290,305.31/589.63
  6. Step 6: Final answer
    x = 492.36

Related Problems

Find fourth proportional to 294.81, 406.88 and 178.38
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Double scale
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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.