Home / 1,026.93-1,541.14-402.32

Finding the Fourth Proportional to 1,026.93, 1,541.14 and 402.32

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Solution

The fourth proportional to 1,026.93, 1,541.14 and 402.32 is: 603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.93 : 1,541.14 = 402.32 : x
  2. Step 2: Convert to fraction form
    1,026.93/1,541.14 = 402.32/x
  3. Step 3: Cross multiply
    1,026.93x = 1,541.14 × 402.32
  4. Step 4: Simplify right side
    1,026.93x = 620,031.44
  5. Step 5: Solve for x
    x = 620,031.44/1,026.93
  6. Step 6: Final answer
    x = 603.77

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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.