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Finding the Fourth Proportional to 491.31, 735.57 and 370.08

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Solution

The fourth proportional to 491.31, 735.57 and 370.08 is: 554.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.31 : 735.57 = 370.08 : x
  2. Step 2: Convert to fraction form
    491.31/735.57 = 370.08/x
  3. Step 3: Cross multiply
    491.31x = 735.57 × 370.08
  4. Step 4: Simplify right side
    491.31x = 272,219.75
  5. Step 5: Solve for x
    x = 272,219.75/491.31
  6. Step 6: Final answer
    x = 554.07

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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.