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Finding the Fourth Proportional to 1,094.63, 1,640.43 and 632.57

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Solution

The fourth proportional to 1,094.63, 1,640.43 and 632.57 is: 947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.63 : 1,640.43 = 632.57 : x
  2. Step 2: Convert to fraction form
    1,094.63/1,640.43 = 632.57/x
  3. Step 3: Cross multiply
    1,094.63x = 1,640.43 × 632.57
  4. Step 4: Simplify right side
    1,094.63x = 1,037,678.60
  5. Step 5: Solve for x
    x = 1,037,678.60/1,094.63
  6. Step 6: Final answer
    x = 947.98

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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.