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Finding the Fourth Proportional to 1,006.63, 1,389.24 and 564.53

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Solution

The fourth proportional to 1,006.63, 1,389.24 and 564.53 is: 779.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.63 : 1,389.24 = 564.53 : x
  2. Step 2: Convert to fraction form
    1,006.63/1,389.24 = 564.53/x
  3. Step 3: Cross multiply
    1,006.63x = 1,389.24 × 564.53
  4. Step 4: Simplify right side
    1,006.63x = 784,260.71
  5. Step 5: Solve for x
    x = 784,260.71/1,006.63
  6. Step 6: Final answer
    x = 779.10

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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.