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Finding the Fourth Proportional to 913.74, 1,261.54 and 564.63

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Solution

The fourth proportional to 913.74, 1,261.54 and 564.63 is: 779.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.74 : 1,261.54 = 564.63 : x
  2. Step 2: Convert to fraction form
    913.74/1,261.54 = 564.63/x
  3. Step 3: Cross multiply
    913.74x = 1,261.54 × 564.63
  4. Step 4: Simplify right side
    913.74x = 712,303.33
  5. Step 5: Solve for x
    x = 712,303.33/913.74
  6. Step 6: Final answer
    x = 779.55

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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.