Home / 1,026.96-1,417.23-561.21

Finding the Fourth Proportional to 1,026.96, 1,417.23 and 561.21

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Solution

The fourth proportional to 1,026.96, 1,417.23 and 561.21 is: 774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.96 : 1,417.23 = 561.21 : x
  2. Step 2: Convert to fraction form
    1,026.96/1,417.23 = 561.21/x
  3. Step 3: Cross multiply
    1,026.96x = 1,417.23 × 561.21
  4. Step 4: Simplify right side
    1,026.96x = 795,363.65
  5. Step 5: Solve for x
    x = 795,363.65/1,026.96
  6. Step 6: Final answer
    x = 774.48

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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.