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Finding the Fourth Proportional to 1,046.34, 1,562.33 and 1,008.54

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Solution

The fourth proportional to 1,046.34, 1,562.33 and 1,008.54 is: 1,505.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.34 : 1,562.33 = 1,008.54 : x
  2. Step 2: Convert to fraction form
    1,046.34/1,562.33 = 1,008.54/x
  3. Step 3: Cross multiply
    1,046.34x = 1,562.33 × 1,008.54
  4. Step 4: Simplify right side
    1,046.34x = 1,575,674.82
  5. Step 5: Solve for x
    x = 1,575,674.82/1,046.34
  6. Step 6: Final answer
    x = 1,505.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.