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Finding the Fourth Proportional to 1,010.18, 1,515.65 and 490.15

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Solution

The fourth proportional to 1,010.18, 1,515.65 and 490.15 is: 735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.18 : 1,515.65 = 490.15 : x
  2. Step 2: Convert to fraction form
    1,010.18/1,515.65 = 490.15/x
  3. Step 3: Cross multiply
    1,010.18x = 1,515.65 × 490.15
  4. Step 4: Simplify right side
    1,010.18x = 742,893.40
  5. Step 5: Solve for x
    x = 742,893.40/1,010.18
  6. Step 6: Final answer
    x = 735.41

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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.