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Finding the Fourth Proportional to 402.37, 607 and 390.09

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Solution

The fourth proportional to 402.37, 607 and 390.09 is: 588.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.37 : 607 = 390.09 : x
  2. Step 2: Convert to fraction form
    402.37/607 = 390.09/x
  3. Step 3: Cross multiply
    402.37x = 607 × 390.09
  4. Step 4: Simplify right side
    402.37x = 236,784.63
  5. Step 5: Solve for x
    x = 236,784.63/402.37
  6. Step 6: Final answer
    x = 588.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.