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Finding the Fourth Proportional to 582.78, 801.54 and 509.16

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Solution

The fourth proportional to 582.78, 801.54 and 509.16 is: 700.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.78 : 801.54 = 509.16 : x
  2. Step 2: Convert to fraction form
    582.78/801.54 = 509.16/x
  3. Step 3: Cross multiply
    582.78x = 801.54 × 509.16
  4. Step 4: Simplify right side
    582.78x = 408,112.11
  5. Step 5: Solve for x
    x = 408,112.11/582.78
  6. Step 6: Final answer
    x = 700.29

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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.