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Finding the Fourth Proportional to 1,462.93, 2,017.98 and 990.77

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Solution

The fourth proportional to 1,462.93, 2,017.98 and 990.77 is: 1,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.93 : 2,017.98 = 990.77 : x
  2. Step 2: Convert to fraction form
    1,462.93/2,017.98 = 990.77/x
  3. Step 3: Cross multiply
    1,462.93x = 2,017.98 × 990.77
  4. Step 4: Simplify right side
    1,462.93x = 1,999,343.95
  5. Step 5: Solve for x
    x = 1,999,343.95/1,462.93
  6. Step 6: Final answer
    x = 1,366.67

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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.