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Finding the Fourth Proportional to 1,094.04, 1,640.28 and 508.71

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Solution

The fourth proportional to 1,094.04, 1,640.28 and 508.71 is: 762.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.04 : 1,640.28 = 508.71 : x
  2. Step 2: Convert to fraction form
    1,094.04/1,640.28 = 508.71/x
  3. Step 3: Cross multiply
    1,094.04x = 1,640.28 × 508.71
  4. Step 4: Simplify right side
    1,094.04x = 834,418.64
  5. Step 5: Solve for x
    x = 834,418.64/1,094.04
  6. Step 6: Final answer
    x = 762.70

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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.