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Finding the Fourth Proportional to 845.31, 1,166.56 and 472.40

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Solution

The fourth proportional to 845.31, 1,166.56 and 472.40 is: 651.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.31 : 1,166.56 = 472.40 : x
  2. Step 2: Convert to fraction form
    845.31/1,166.56 = 472.40/x
  3. Step 3: Cross multiply
    845.31x = 1,166.56 × 472.40
  4. Step 4: Simplify right side
    845.31x = 551,075.93
  5. Step 5: Solve for x
    x = 551,075.93/845.31
  6. Step 6: Final answer
    x = 651.92

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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.