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Finding the Fourth Proportional to 1,117.99, 1,669.45 and 912.96

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Solution

The fourth proportional to 1,117.99, 1,669.45 and 912.96 is: 1,363.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.99 : 1,669.45 = 912.96 : x
  2. Step 2: Convert to fraction form
    1,117.99/1,669.45 = 912.96/x
  3. Step 3: Cross multiply
    1,117.99x = 1,669.45 × 912.96
  4. Step 4: Simplify right side
    1,117.99x = 1,524,141.07
  5. Step 5: Solve for x
    x = 1,524,141.07/1,117.99
  6. Step 6: Final answer
    x = 1,363.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.