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Finding the Fourth Proportional to 1,161.37, 1,602.70 and 630.25

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Solution

The fourth proportional to 1,161.37, 1,602.70 and 630.25 is: 869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.37 : 1,602.70 = 630.25 : x
  2. Step 2: Convert to fraction form
    1,161.37/1,602.70 = 630.25/x
  3. Step 3: Cross multiply
    1,161.37x = 1,602.70 × 630.25
  4. Step 4: Simplify right side
    1,161.37x = 1,010,108.65
  5. Step 5: Solve for x
    x = 1,010,108.65/1,161.37
  6. Step 6: Final answer
    x = 869.76

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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.