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Finding the Fourth Proportional to 535.07, 798.30 and 458.07

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Solution

The fourth proportional to 535.07, 798.30 and 458.07 is: 683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.07 : 798.30 = 458.07 : x
  2. Step 2: Convert to fraction form
    535.07/798.30 = 458.07/x
  3. Step 3: Cross multiply
    535.07x = 798.30 × 458.07
  4. Step 4: Simplify right side
    535.07x = 365,677.28
  5. Step 5: Solve for x
    x = 365,677.28/535.07
  6. Step 6: Final answer
    x = 683.42

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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.