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Finding the Fourth Proportional to 1,117.77, 1,669.13 and 912.74

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Solution

The fourth proportional to 1,117.77, 1,669.13 and 912.74 is: 1,362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.77 : 1,669.13 = 912.74 : x
  2. Step 2: Convert to fraction form
    1,117.77/1,669.13 = 912.74/x
  3. Step 3: Cross multiply
    1,117.77x = 1,669.13 × 912.74
  4. Step 4: Simplify right side
    1,117.77x = 1,523,468.81
  5. Step 5: Solve for x
    x = 1,523,468.81/1,117.77
  6. Step 6: Final answer
    x = 1,362.95

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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.