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Finding the Fourth Proportional to 840.27, 1,159.54 and 561.01

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Solution

The fourth proportional to 840.27, 1,159.54 and 561.01 is: 774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.27 : 1,159.54 = 561.01 : x
  2. Step 2: Convert to fraction form
    840.27/1,159.54 = 561.01/x
  3. Step 3: Cross multiply
    840.27x = 1,159.54 × 561.01
  4. Step 4: Simplify right side
    840.27x = 650,513.54
  5. Step 5: Solve for x
    x = 650,513.54/840.27
  6. Step 6: Final answer
    x = 774.17

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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.