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Finding the Fourth Proportional to 831.23, 1,145.69 and 582.10

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Solution

The fourth proportional to 831.23, 1,145.69 and 582.10 is: 802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.23 : 1,145.69 = 582.10 : x
  2. Step 2: Convert to fraction form
    831.23/1,145.69 = 582.10/x
  3. Step 3: Cross multiply
    831.23x = 1,145.69 × 582.10
  4. Step 4: Simplify right side
    831.23x = 666,903.24
  5. Step 5: Solve for x
    x = 666,903.24/831.23
  6. Step 6: Final answer
    x = 802.31

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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.