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Finding the Fourth Proportional to 1,380.53, 2,070.75 and 600.53

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Solution

The fourth proportional to 1,380.53, 2,070.75 and 600.53 is: 900.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.53 : 2,070.75 = 600.53 : x
  2. Step 2: Convert to fraction form
    1,380.53/2,070.75 = 600.53/x
  3. Step 3: Cross multiply
    1,380.53x = 2,070.75 × 600.53
  4. Step 4: Simplify right side
    1,380.53x = 1,243,547.50
  5. Step 5: Solve for x
    x = 1,243,547.50/1,380.53
  6. Step 6: Final answer
    x = 900.78

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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.