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Finding the Fourth Proportional to 1,113.89, 1,670.85 and 292.23

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Solution

The fourth proportional to 1,113.89, 1,670.85 and 292.23 is: 438.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.89 : 1,670.85 = 292.23 : x
  2. Step 2: Convert to fraction form
    1,113.89/1,670.85 = 292.23/x
  3. Step 3: Cross multiply
    1,113.89x = 1,670.85 × 292.23
  4. Step 4: Simplify right side
    1,113.89x = 488,272.50
  5. Step 5: Solve for x
    x = 488,272.50/1,113.89
  6. Step 6: Final answer
    x = 438.35

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Double scale
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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.