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Finding the Fourth Proportional to 1,020.14, 1,407.71 and 578.11

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Solution

The fourth proportional to 1,020.14, 1,407.71 and 578.11 is: 797.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.14 : 1,407.71 = 578.11 : x
  2. Step 2: Convert to fraction form
    1,020.14/1,407.71 = 578.11/x
  3. Step 3: Cross multiply
    1,020.14x = 1,407.71 × 578.11
  4. Step 4: Simplify right side
    1,020.14x = 813,803.26
  5. Step 5: Solve for x
    x = 813,803.26/1,020.14
  6. Step 6: Final answer
    x = 797.74

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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.