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Finding the Fourth Proportional to 767.90, 1,059.70 and 436.30

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Solution

The fourth proportional to 767.90, 1,059.70 and 436.30 is: 602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.90 : 1,059.70 = 436.30 : x
  2. Step 2: Convert to fraction form
    767.90/1,059.70 = 436.30/x
  3. Step 3: Cross multiply
    767.90x = 1,059.70 × 436.30
  4. Step 4: Simplify right side
    767.90x = 462,347.11
  5. Step 5: Solve for x
    x = 462,347.11/767.90
  6. Step 6: Final answer
    x = 602.09

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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.