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Finding the Fourth Proportional to 2,058.40, 3,087.60 and 577.62

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Solution

The fourth proportional to 2,058.40, 3,087.60 and 577.62 is: 866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.40 : 3,087.60 = 577.62 : x
  2. Step 2: Convert to fraction form
    2,058.40/3,087.60 = 577.62/x
  3. Step 3: Cross multiply
    2,058.40x = 3,087.60 × 577.62
  4. Step 4: Simplify right side
    2,058.40x = 1,783,459.51
  5. Step 5: Solve for x
    x = 1,783,459.51/2,058.40
  6. Step 6: Final answer
    x = 866.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.