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Finding the Fourth Proportional to 753.84, 1,038.99 and 613.66

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Solution

The fourth proportional to 753.84, 1,038.99 and 613.66 is: 845.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.84 : 1,038.99 = 613.66 : x
  2. Step 2: Convert to fraction form
    753.84/1,038.99 = 613.66/x
  3. Step 3: Cross multiply
    753.84x = 1,038.99 × 613.66
  4. Step 4: Simplify right side
    753.84x = 637,586.60
  5. Step 5: Solve for x
    x = 637,586.60/753.84
  6. Step 6: Final answer
    x = 845.79

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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.