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Finding the Fourth Proportional to 867.99, 1,302.53 and 291.27

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Solution

The fourth proportional to 867.99, 1,302.53 and 291.27 is: 437.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.99 : 1,302.53 = 291.27 : x
  2. Step 2: Convert to fraction form
    867.99/1,302.53 = 291.27/x
  3. Step 3: Cross multiply
    867.99x = 1,302.53 × 291.27
  4. Step 4: Simplify right side
    867.99x = 379,386.46
  5. Step 5: Solve for x
    x = 379,386.46/867.99
  6. Step 6: Final answer
    x = 437.09

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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.