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Finding the Fourth Proportional to 628.04, 865.30 and 569.80

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Solution

The fourth proportional to 628.04, 865.30 and 569.80 is: 785.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.04 : 865.30 = 569.80 : x
  2. Step 2: Convert to fraction form
    628.04/865.30 = 569.80/x
  3. Step 3: Cross multiply
    628.04x = 865.30 × 569.80
  4. Step 4: Simplify right side
    628.04x = 493,047.94
  5. Step 5: Solve for x
    x = 493,047.94/628.04
  6. Step 6: Final answer
    x = 785.06

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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.