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Finding the Fourth Proportional to 1,004.88, 1,386.77 and 562.78

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Solution

The fourth proportional to 1,004.88, 1,386.77 and 562.78 is: 776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.88 : 1,386.77 = 562.78 : x
  2. Step 2: Convert to fraction form
    1,004.88/1,386.77 = 562.78/x
  3. Step 3: Cross multiply
    1,004.88x = 1,386.77 × 562.78
  4. Step 4: Simplify right side
    1,004.88x = 780,443.61
  5. Step 5: Solve for x
    x = 780,443.61/1,004.88
  6. Step 6: Final answer
    x = 776.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.