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Finding the Fourth Proportional to 654.12, 982.62 and 510.12

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Solution

The fourth proportional to 654.12, 982.62 and 510.12 is: 766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.12 : 982.62 = 510.12 : x
  2. Step 2: Convert to fraction form
    654.12/982.62 = 510.12/x
  3. Step 3: Cross multiply
    654.12x = 982.62 × 510.12
  4. Step 4: Simplify right side
    654.12x = 501,254.11
  5. Step 5: Solve for x
    x = 501,254.11/654.12
  6. Step 6: Final answer
    x = 766.30

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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.