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Finding the Fourth Proportional to 864.09, 1,293.75 and 555.18

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Solution

The fourth proportional to 864.09, 1,293.75 and 555.18 is: 831.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.09 : 1,293.75 = 555.18 : x
  2. Step 2: Convert to fraction form
    864.09/1,293.75 = 555.18/x
  3. Step 3: Cross multiply
    864.09x = 1,293.75 × 555.18
  4. Step 4: Simplify right side
    864.09x = 718,261.35
  5. Step 5: Solve for x
    x = 718,261.35/864.09
  6. Step 6: Final answer
    x = 831.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.