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Finding the Fourth Proportional to 816.10, 1,125.93 and 619.18

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Solution

The fourth proportional to 816.10, 1,125.93 and 619.18 is: 854.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.10 : 1,125.93 = 619.18 : x
  2. Step 2: Convert to fraction form
    816.10/1,125.93 = 619.18/x
  3. Step 3: Cross multiply
    816.10x = 1,125.93 × 619.18
  4. Step 4: Simplify right side
    816.10x = 697,153.34
  5. Step 5: Solve for x
    x = 697,153.34/816.10
  6. Step 6: Final answer
    x = 854.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.