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Finding the Fourth Proportional to 1,010.64, 1,513.92 and 462.06

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Solution

The fourth proportional to 1,010.64, 1,513.92 and 462.06 is: 692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.64 : 1,513.92 = 462.06 : x
  2. Step 2: Convert to fraction form
    1,010.64/1,513.92 = 462.06/x
  3. Step 3: Cross multiply
    1,010.64x = 1,513.92 × 462.06
  4. Step 4: Simplify right side
    1,010.64x = 699,521.88
  5. Step 5: Solve for x
    x = 699,521.88/1,010.64
  6. Step 6: Final answer
    x = 692.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.