Home / 1,026.88-1,417.21-584.85

Finding the Fourth Proportional to 1,026.88, 1,417.21 and 584.85

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Solution

The fourth proportional to 1,026.88, 1,417.21 and 584.85 is: 807.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.88 : 1,417.21 = 584.85 : x
  2. Step 2: Convert to fraction form
    1,026.88/1,417.21 = 584.85/x
  3. Step 3: Cross multiply
    1,026.88x = 1,417.21 × 584.85
  4. Step 4: Simplify right side
    1,026.88x = 828,860.27
  5. Step 5: Solve for x
    x = 828,860.27/1,026.88
  6. Step 6: Final answer
    x = 807.16

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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.