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Finding the Fourth Proportional to 582.51, 803.45 and 386.29

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Solution

The fourth proportional to 582.51, 803.45 and 386.29 is: 532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.51 : 803.45 = 386.29 : x
  2. Step 2: Convert to fraction form
    582.51/803.45 = 386.29/x
  3. Step 3: Cross multiply
    582.51x = 803.45 × 386.29
  4. Step 4: Simplify right side
    582.51x = 310,364.70
  5. Step 5: Solve for x
    x = 310,364.70/582.51
  6. Step 6: Final answer
    x = 532.81

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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.