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Finding the Fourth Proportional to 459.88, 688.38 and 357.46

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Solution

The fourth proportional to 459.88, 688.38 and 357.46 is: 535.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.88 : 688.38 = 357.46 : x
  2. Step 2: Convert to fraction form
    459.88/688.38 = 357.46/x
  3. Step 3: Cross multiply
    459.88x = 688.38 × 357.46
  4. Step 4: Simplify right side
    459.88x = 246,068.31
  5. Step 5: Solve for x
    x = 246,068.31/459.88
  6. Step 6: Final answer
    x = 535.07

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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.