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Finding the Fourth Proportional to 435.65, 599.47 and 402.10

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Solution

The fourth proportional to 435.65, 599.47 and 402.10 is: 553.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.65 : 599.47 = 402.10 : x
  2. Step 2: Convert to fraction form
    435.65/599.47 = 402.10/x
  3. Step 3: Cross multiply
    435.65x = 599.47 × 402.10
  4. Step 4: Simplify right side
    435.65x = 241,044.38
  5. Step 5: Solve for x
    x = 241,044.38/435.65
  6. Step 6: Final answer
    x = 553.30

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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.