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Finding the Fourth Proportional to 582.13, 802.87 and 360.66

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Solution

The fourth proportional to 582.13, 802.87 and 360.66 is: 497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.13 : 802.87 = 360.66 : x
  2. Step 2: Convert to fraction form
    582.13/802.87 = 360.66/x
  3. Step 3: Cross multiply
    582.13x = 802.87 × 360.66
  4. Step 4: Simplify right side
    582.13x = 289,561.29
  5. Step 5: Solve for x
    x = 289,561.29/582.13
  6. Step 6: Final answer
    x = 497.42

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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.