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Finding the Fourth Proportional to 1,554.78, 2,332.26 and 400.50

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Solution

The fourth proportional to 1,554.78, 2,332.26 and 400.50 is: 600.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.78 : 2,332.26 = 400.50 : x
  2. Step 2: Convert to fraction form
    1,554.78/2,332.26 = 400.50/x
  3. Step 3: Cross multiply
    1,554.78x = 2,332.26 × 400.50
  4. Step 4: Simplify right side
    1,554.78x = 934,070.13
  5. Step 5: Solve for x
    x = 934,070.13/1,554.78
  6. Step 6: Final answer
    x = 600.77

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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.