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Finding the Fourth Proportional to 410.58, 610.62 and 402.36

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Solution

The fourth proportional to 410.58, 610.62 and 402.36 is: 598.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.58 : 610.62 = 402.36 : x
  2. Step 2: Convert to fraction form
    410.58/610.62 = 402.36/x
  3. Step 3: Cross multiply
    410.58x = 610.62 × 402.36
  4. Step 4: Simplify right side
    410.58x = 245,689.06
  5. Step 5: Solve for x
    x = 245,689.06/410.58
  6. Step 6: Final answer
    x = 598.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.