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Finding the Fourth Proportional to 1,020.25, 1,407.83 and 578.06

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Solution

The fourth proportional to 1,020.25, 1,407.83 and 578.06 is: 797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.25 : 1,407.83 = 578.06 : x
  2. Step 2: Convert to fraction form
    1,020.25/1,407.83 = 578.06/x
  3. Step 3: Cross multiply
    1,020.25x = 1,407.83 × 578.06
  4. Step 4: Simplify right side
    1,020.25x = 813,810.21
  5. Step 5: Solve for x
    x = 813,810.21/1,020.25
  6. Step 6: Final answer
    x = 797.66

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1.5x scale

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.