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Finding the Fourth Proportional to 782.51, 1,172.61 and 435.42

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Solution

The fourth proportional to 782.51, 1,172.61 and 435.42 is: 652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.51 : 1,172.61 = 435.42 : x
  2. Step 2: Convert to fraction form
    782.51/1,172.61 = 435.42/x
  3. Step 3: Cross multiply
    782.51x = 1,172.61 × 435.42
  4. Step 4: Simplify right side
    782.51x = 510,577.85
  5. Step 5: Solve for x
    x = 510,577.85/782.51
  6. Step 6: Final answer
    x = 652.49

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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.