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Finding the Fourth Proportional to 1,026.77, 1,540.12 and 342.77

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Solution

The fourth proportional to 1,026.77, 1,540.12 and 342.77 is: 514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.77 : 1,540.12 = 342.77 : x
  2. Step 2: Convert to fraction form
    1,026.77/1,540.12 = 342.77/x
  3. Step 3: Cross multiply
    1,026.77x = 1,540.12 × 342.77
  4. Step 4: Simplify right side
    1,026.77x = 527,905.22
  5. Step 5: Solve for x
    x = 527,905.22/1,026.77
  6. Step 6: Final answer
    x = 514.14

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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.