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Finding the Fourth Proportional to 1,570.42, 2,350.77 and 838.18

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Solution

The fourth proportional to 1,570.42, 2,350.77 and 838.18 is: 1,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.42 : 2,350.77 = 838.18 : x
  2. Step 2: Convert to fraction form
    1,570.42/2,350.77 = 838.18/x
  3. Step 3: Cross multiply
    1,570.42x = 2,350.77 × 838.18
  4. Step 4: Simplify right side
    1,570.42x = 1,970,368.40
  5. Step 5: Solve for x
    x = 1,970,368.40/1,570.42
  6. Step 6: Final answer
    x = 1,254.68

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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.