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Finding the Fourth Proportional to 1,133.61, 1,699.86 and 665.20

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Solution

The fourth proportional to 1,133.61, 1,699.86 and 665.20 is: 997.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.61 : 1,699.86 = 665.20 : x
  2. Step 2: Convert to fraction form
    1,133.61/1,699.86 = 665.20/x
  3. Step 3: Cross multiply
    1,133.61x = 1,699.86 × 665.20
  4. Step 4: Simplify right side
    1,133.61x = 1,130,743.55
  5. Step 5: Solve for x
    x = 1,130,743.55/1,133.61
  6. Step 6: Final answer
    x = 997.47

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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.