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Finding the Fourth Proportional to 864.07, 1,293.93 and 555.95

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Solution

The fourth proportional to 864.07, 1,293.93 and 555.95 is: 832.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.07 : 1,293.93 = 555.95 : x
  2. Step 2: Convert to fraction form
    864.07/1,293.93 = 555.95/x
  3. Step 3: Cross multiply
    864.07x = 1,293.93 × 555.95
  4. Step 4: Simplify right side
    864.07x = 719,363.62
  5. Step 5: Solve for x
    x = 719,363.62/864.07
  6. Step 6: Final answer
    x = 832.53

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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.