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Finding the Fourth Proportional to 1,445.55, 2,166.77 and 624.21

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Solution

The fourth proportional to 1,445.55, 2,166.77 and 624.21 is: 935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.55 : 2,166.77 = 624.21 : x
  2. Step 2: Convert to fraction form
    1,445.55/2,166.77 = 624.21/x
  3. Step 3: Cross multiply
    1,445.55x = 2,166.77 × 624.21
  4. Step 4: Simplify right side
    1,445.55x = 1,352,521.06
  5. Step 5: Solve for x
    x = 1,352,521.06/1,445.55
  6. Step 6: Final answer
    x = 935.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.