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Finding the Fourth Proportional to 845.74, 1,166.70 and 530.65

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Solution

The fourth proportional to 845.74, 1,166.70 and 530.65 is: 732.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.74 : 1,166.70 = 530.65 : x
  2. Step 2: Convert to fraction form
    845.74/1,166.70 = 530.65/x
  3. Step 3: Cross multiply
    845.74x = 1,166.70 × 530.65
  4. Step 4: Simplify right side
    845.74x = 619,112.80
  5. Step 5: Solve for x
    x = 619,112.80/845.74
  6. Step 6: Final answer
    x = 732.04

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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.