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Finding the Fourth Proportional to 1,005.02, 1,386.91 and 562.92

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Solution

The fourth proportional to 1,005.02, 1,386.91 and 562.92 is: 776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.02 : 1,386.91 = 562.92 : x
  2. Step 2: Convert to fraction form
    1,005.02/1,386.91 = 562.92/x
  3. Step 3: Cross multiply
    1,005.02x = 1,386.91 × 562.92
  4. Step 4: Simplify right side
    1,005.02x = 780,722.87
  5. Step 5: Solve for x
    x = 780,722.87/1,005.02
  6. Step 6: Final answer
    x = 776.82

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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.