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Finding the Fourth Proportional to 864.16, 1,293.84 and 555.52

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Solution

The fourth proportional to 864.16, 1,293.84 and 555.52 is: 831.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.16 : 1,293.84 = 555.52 : x
  2. Step 2: Convert to fraction form
    864.16/1,293.84 = 555.52/x
  3. Step 3: Cross multiply
    864.16x = 1,293.84 × 555.52
  4. Step 4: Simplify right side
    864.16x = 718,754.00
  5. Step 5: Solve for x
    x = 718,754.00/864.16
  6. Step 6: Final answer
    x = 831.74

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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.