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Finding the Fourth Proportional to 1,094.25, 1,510.10 and 596.90

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Solution

The fourth proportional to 1,094.25, 1,510.10 and 596.90 is: 823.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.25 : 1,510.10 = 596.90 : x
  2. Step 2: Convert to fraction form
    1,094.25/1,510.10 = 596.90/x
  3. Step 3: Cross multiply
    1,094.25x = 1,510.10 × 596.90
  4. Step 4: Simplify right side
    1,094.25x = 901,375.71
  5. Step 5: Solve for x
    x = 901,375.71/1,094.25
  6. Step 6: Final answer
    x = 823.74

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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.