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Finding the Fourth Proportional to 1,005.01, 1,386.86 and 562.83

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Solution

The fourth proportional to 1,005.01, 1,386.86 and 562.83 is: 776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.01 : 1,386.86 = 562.83 : x
  2. Step 2: Convert to fraction form
    1,005.01/1,386.86 = 562.83/x
  3. Step 3: Cross multiply
    1,005.01x = 1,386.86 × 562.83
  4. Step 4: Simplify right side
    1,005.01x = 780,566.41
  5. Step 5: Solve for x
    x = 780,566.41/1,005.01
  6. Step 6: Final answer
    x = 776.68

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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.