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Finding the Fourth Proportional to 1,490.49, 2,056.63 and 930.87

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Solution

The fourth proportional to 1,490.49, 2,056.63 and 930.87 is: 1,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.49 : 2,056.63 = 930.87 : x
  2. Step 2: Convert to fraction form
    1,490.49/2,056.63 = 930.87/x
  3. Step 3: Cross multiply
    1,490.49x = 2,056.63 × 930.87
  4. Step 4: Simplify right side
    1,490.49x = 1,914,455.17
  5. Step 5: Solve for x
    x = 1,914,455.17/1,490.49
  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.