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Finding the Fourth Proportional to 569.38, 785.19 and 458.50

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Solution

The fourth proportional to 569.38, 785.19 and 458.50 is: 632.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.38 : 785.19 = 458.50 : x
  2. Step 2: Convert to fraction form
    569.38/785.19 = 458.50/x
  3. Step 3: Cross multiply
    569.38x = 785.19 × 458.50
  4. Step 4: Simplify right side
    569.38x = 360,009.62
  5. Step 5: Solve for x
    x = 360,009.62/569.38
  6. Step 6: Final answer
    x = 632.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.