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Finding the Fourth Proportional to 460.67, 690.13 and 357.45

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Solution

The fourth proportional to 460.67, 690.13 and 357.45 is: 535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.67 : 690.13 = 357.45 : x
  2. Step 2: Convert to fraction form
    460.67/690.13 = 357.45/x
  3. Step 3: Cross multiply
    460.67x = 690.13 × 357.45
  4. Step 4: Simplify right side
    460.67x = 246,686.97
  5. Step 5: Solve for x
    x = 246,686.97/460.67
  6. Step 6: Final answer
    x = 535.50

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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.