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Finding the Fourth Proportional to 1,133.24, 1,700.17 and 646.63

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Solution

The fourth proportional to 1,133.24, 1,700.17 and 646.63 is: 970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.24 : 1,700.17 = 646.63 : x
  2. Step 2: Convert to fraction form
    1,133.24/1,700.17 = 646.63/x
  3. Step 3: Cross multiply
    1,133.24x = 1,700.17 × 646.63
  4. Step 4: Simplify right side
    1,133.24x = 1,099,375.06
  5. Step 5: Solve for x
    x = 1,099,375.06/1,133.24
  6. Step 6: Final answer
    x = 970.12

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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.