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Finding the Fourth Proportional to 1,006.99, 1,389.71 and 564.92

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Solution

The fourth proportional to 1,006.99, 1,389.71 and 564.92 is: 779.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.99 : 1,389.71 = 564.92 : x
  2. Step 2: Convert to fraction form
    1,006.99/1,389.71 = 564.92/x
  3. Step 3: Cross multiply
    1,006.99x = 1,389.71 × 564.92
  4. Step 4: Simplify right side
    1,006.99x = 785,065.20
  5. Step 5: Solve for x
    x = 785,065.20/1,006.99
  6. Step 6: Final answer
    x = 779.62

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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.