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Finding the Fourth Proportional to 845.60, 1,166.36 and 734.89

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Solution

The fourth proportional to 845.60, 1,166.36 and 734.89 is: 1,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.60 : 1,166.36 = 734.89 : x
  2. Step 2: Convert to fraction form
    845.60/1,166.36 = 734.89/x
  3. Step 3: Cross multiply
    845.60x = 1,166.36 × 734.89
  4. Step 4: Simplify right side
    845.60x = 857,136.79
  5. Step 5: Solve for x
    x = 857,136.79/845.60
  6. Step 6: Final answer
    x = 1,013.64

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1.5x scale

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.