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Finding the Fourth Proportional to 1,161.40, 1,602.76 and 637.48

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Solution

The fourth proportional to 1,161.40, 1,602.76 and 637.48 is: 879.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.40 : 1,602.76 = 637.48 : x
  2. Step 2: Convert to fraction form
    1,161.40/1,602.76 = 637.48/x
  3. Step 3: Cross multiply
    1,161.40x = 1,602.76 × 637.48
  4. Step 4: Simplify right side
    1,161.40x = 1,021,727.44
  5. Step 5: Solve for x
    x = 1,021,727.44/1,161.40
  6. Step 6: Final answer
    x = 879.74

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Half scale
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1.5x scale

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.