Home / 1,020.16-1,407.77-578.06

Finding the Fourth Proportional to 1,020.16, 1,407.77 and 578.06

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Solution

The fourth proportional to 1,020.16, 1,407.77 and 578.06 is: 797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.16 : 1,407.77 = 578.06 : x
  2. Step 2: Convert to fraction form
    1,020.16/1,407.77 = 578.06/x
  3. Step 3: Cross multiply
    1,020.16x = 1,407.77 × 578.06
  4. Step 4: Simplify right side
    1,020.16x = 813,769.93
  5. Step 5: Solve for x
    x = 813,769.93/1,020.16
  6. Step 6: Final answer
    x = 797.69

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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.