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Finding the Fourth Proportional to 569.25, 782.95 and 458.47

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Solution

The fourth proportional to 569.25, 782.95 and 458.47 is: 630.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.25 : 782.95 = 458.47 : x
  2. Step 2: Convert to fraction form
    569.25/782.95 = 458.47/x
  3. Step 3: Cross multiply
    569.25x = 782.95 × 458.47
  4. Step 4: Simplify right side
    569.25x = 358,959.09
  5. Step 5: Solve for x
    x = 358,959.09/569.25
  6. Step 6: Final answer
    x = 630.58

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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.