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Finding the Fourth Proportional to 628.16, 865.69 and 503.77

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Solution

The fourth proportional to 628.16, 865.69 and 503.77 is: 694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.16 : 865.69 = 503.77 : x
  2. Step 2: Convert to fraction form
    628.16/865.69 = 503.77/x
  3. Step 3: Cross multiply
    628.16x = 865.69 × 503.77
  4. Step 4: Simplify right side
    628.16x = 436,106.85
  5. Step 5: Solve for x
    x = 436,106.85/628.16
  6. Step 6: Final answer
    x = 694.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.