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Finding the Fourth Proportional to 642.02, 886.20 and 435.14

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Solution

The fourth proportional to 642.02, 886.20 and 435.14 is: 600.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.02 : 886.20 = 435.14 : x
  2. Step 2: Convert to fraction form
    642.02/886.20 = 435.14/x
  3. Step 3: Cross multiply
    642.02x = 886.20 × 435.14
  4. Step 4: Simplify right side
    642.02x = 385,621.07
  5. Step 5: Solve for x
    x = 385,621.07/642.02
  6. Step 6: Final answer
    x = 600.64

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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.