Home / 1,490.96-2,056.84-931.15

Finding the Fourth Proportional to 1,490.96, 2,056.84 and 931.15

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Solution

The fourth proportional to 1,490.96, 2,056.84 and 931.15 is: 1,284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.96 : 2,056.84 = 931.15 : x
  2. Step 2: Convert to fraction form
    1,490.96/2,056.84 = 931.15/x
  3. Step 3: Cross multiply
    1,490.96x = 2,056.84 × 931.15
  4. Step 4: Simplify right side
    1,490.96x = 1,915,220.48
  5. Step 5: Solve for x
    x = 1,915,220.48/1,490.96
  6. Step 6: Final answer
    x = 1,284.56

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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.