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Finding the Fourth Proportional to 1,133.47, 1,700.16 and 649.90

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Solution

The fourth proportional to 1,133.47, 1,700.16 and 649.90 is: 974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.47 : 1,700.16 = 649.90 : x
  2. Step 2: Convert to fraction form
    1,133.47/1,700.16 = 649.90/x
  3. Step 3: Cross multiply
    1,133.47x = 1,700.16 × 649.90
  4. Step 4: Simplify right side
    1,133.47x = 1,104,933.98
  5. Step 5: Solve for x
    x = 1,104,933.98/1,133.47
  6. Step 6: Final answer
    x = 974.82

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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.