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Finding the Fourth Proportional to 750.77, 1,036.06 and 419.21

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Solution

The fourth proportional to 750.77, 1,036.06 and 419.21 is: 578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.77 : 1,036.06 = 419.21 : x
  2. Step 2: Convert to fraction form
    750.77/1,036.06 = 419.21/x
  3. Step 3: Cross multiply
    750.77x = 1,036.06 × 419.21
  4. Step 4: Simplify right side
    750.77x = 434,326.71
  5. Step 5: Solve for x
    x = 434,326.71/750.77
  6. Step 6: Final answer
    x = 578.51

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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.