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Finding the Fourth Proportional to 1,068.34, 1,602.33 and 491.08

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Solution

The fourth proportional to 1,068.34, 1,602.33 and 491.08 is: 736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.34 : 1,602.33 = 491.08 : x
  2. Step 2: Convert to fraction form
    1,068.34/1,602.33 = 491.08/x
  3. Step 3: Cross multiply
    1,068.34x = 1,602.33 × 491.08
  4. Step 4: Simplify right side
    1,068.34x = 786,872.22
  5. Step 5: Solve for x
    x = 786,872.22/1,068.34
  6. Step 6: Final answer
    x = 736.54

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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.