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Finding the Fourth Proportional to 1,162.48, 1,604.23 and 638.51

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Solution

The fourth proportional to 1,162.48, 1,604.23 and 638.51 is: 881.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.48 : 1,604.23 = 638.51 : x
  2. Step 2: Convert to fraction form
    1,162.48/1,604.23 = 638.51/x
  3. Step 3: Cross multiply
    1,162.48x = 1,604.23 × 638.51
  4. Step 4: Simplify right side
    1,162.48x = 1,024,313.59
  5. Step 5: Solve for x
    x = 1,024,313.59/1,162.48
  6. Step 6: Final answer
    x = 881.15

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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.