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Finding the Fourth Proportional to 1,177.23, 1,766.04 and 355.53

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Solution

The fourth proportional to 1,177.23, 1,766.04 and 355.53 is: 533.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.23 : 1,766.04 = 355.53 : x
  2. Step 2: Convert to fraction form
    1,177.23/1,766.04 = 355.53/x
  3. Step 3: Cross multiply
    1,177.23x = 1,766.04 × 355.53
  4. Step 4: Simplify right side
    1,177.23x = 627,880.20
  5. Step 5: Solve for x
    x = 627,880.20/1,177.23
  6. Step 6: Final answer
    x = 533.35

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1.5x scale

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.