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Finding the Fourth Proportional to 1,102.50, 1,653.72 and 554.94

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Solution

The fourth proportional to 1,102.50, 1,653.72 and 554.94 is: 832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.50 : 1,653.72 = 554.94 : x
  2. Step 2: Convert to fraction form
    1,102.50/1,653.72 = 554.94/x
  3. Step 3: Cross multiply
    1,102.50x = 1,653.72 × 554.94
  4. Step 4: Simplify right side
    1,102.50x = 917,715.38
  5. Step 5: Solve for x
    x = 917,715.38/1,102.50
  6. Step 6: Final answer
    x = 832.39

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Double scale
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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.