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Finding the Fourth Proportional to 1,007.05, 1,389.75 and 564.95

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Solution

The fourth proportional to 1,007.05, 1,389.75 and 564.95 is: 779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.05 : 1,389.75 = 564.95 : x
  2. Step 2: Convert to fraction form
    1,007.05/1,389.75 = 564.95/x
  3. Step 3: Cross multiply
    1,007.05x = 1,389.75 × 564.95
  4. Step 4: Simplify right side
    1,007.05x = 785,139.26
  5. Step 5: Solve for x
    x = 785,139.26/1,007.05
  6. Step 6: Final answer
    x = 779.64

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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.