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Finding the Fourth Proportional to 918.83, 1,268.10 and 564.77

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Solution

The fourth proportional to 918.83, 1,268.10 and 564.77 is: 779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.83 : 1,268.10 = 564.77 : x
  2. Step 2: Convert to fraction form
    918.83/1,268.10 = 564.77/x
  3. Step 3: Cross multiply
    918.83x = 1,268.10 × 564.77
  4. Step 4: Simplify right side
    918.83x = 716,178.50
  5. Step 5: Solve for x
    x = 716,178.50/918.83
  6. Step 6: Final answer
    x = 779.45

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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.