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Finding the Fourth Proportional to 1,284.40, 1,925.29 and 553.78

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Solution

The fourth proportional to 1,284.40, 1,925.29 and 553.78 is: 830.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.40 : 1,925.29 = 553.78 : x
  2. Step 2: Convert to fraction form
    1,284.40/1,925.29 = 553.78/x
  3. Step 3: Cross multiply
    1,284.40x = 1,925.29 × 553.78
  4. Step 4: Simplify right side
    1,284.40x = 1,066,187.10
  5. Step 5: Solve for x
    x = 1,066,187.10/1,284.40
  6. Step 6: Final answer
    x = 830.11

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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.