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Finding the Fourth Proportional to 840.54, 1,160.19 and 561.18

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Solution

The fourth proportional to 840.54, 1,160.19 and 561.18 is: 774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.54 : 1,160.19 = 561.18 : x
  2. Step 2: Convert to fraction form
    840.54/1,160.19 = 561.18/x
  3. Step 3: Cross multiply
    840.54x = 1,160.19 × 561.18
  4. Step 4: Simplify right side
    840.54x = 651,075.42
  5. Step 5: Solve for x
    x = 651,075.42/840.54
  6. Step 6: Final answer
    x = 774.59

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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.