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Finding the Fourth Proportional to 1,164.86, 1,607.48 and 640.89

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Solution

The fourth proportional to 1,164.86, 1,607.48 and 640.89 is: 884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.86 : 1,607.48 = 640.89 : x
  2. Step 2: Convert to fraction form
    1,164.86/1,607.48 = 640.89/x
  3. Step 3: Cross multiply
    1,164.86x = 1,607.48 × 640.89
  4. Step 4: Simplify right side
    1,164.86x = 1,030,214.65
  5. Step 5: Solve for x
    x = 1,030,214.65/1,164.86
  6. Step 6: Final answer
    x = 884.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.