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Finding the Fourth Proportional to 1,490.59, 2,056.75 and 930.88

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Solution

The fourth proportional to 1,490.59, 2,056.75 and 930.88 is: 1,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.59 : 2,056.75 = 930.88 : x
  2. Step 2: Convert to fraction form
    1,490.59/2,056.75 = 930.88/x
  3. Step 3: Cross multiply
    1,490.59x = 2,056.75 × 930.88
  4. Step 4: Simplify right side
    1,490.59x = 1,914,587.44
  5. Step 5: Solve for x
    x = 1,914,587.44/1,490.59
  6. Step 6: Final answer
    x = 1,284.45

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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.