Home / 1,025.70-1,415.52-577.60

Finding the Fourth Proportional to 1,025.70, 1,415.52 and 577.60

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Solution

The fourth proportional to 1,025.70, 1,415.52 and 577.60 is: 797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.70 : 1,415.52 = 577.60 : x
  2. Step 2: Convert to fraction form
    1,025.70/1,415.52 = 577.60/x
  3. Step 3: Cross multiply
    1,025.70x = 1,415.52 × 577.60
  4. Step 4: Simplify right side
    1,025.70x = 817,604.35
  5. Step 5: Solve for x
    x = 817,604.35/1,025.70
  6. Step 6: Final answer
    x = 797.12

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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.