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Finding the Fourth Proportional to 703.41, 1,053.47 and 556.17

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Solution

The fourth proportional to 703.41, 1,053.47 and 556.17 is: 832.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.41 : 1,053.47 = 556.17 : x
  2. Step 2: Convert to fraction form
    703.41/1,053.47 = 556.17/x
  3. Step 3: Cross multiply
    703.41x = 1,053.47 × 556.17
  4. Step 4: Simplify right side
    703.41x = 585,900.36
  5. Step 5: Solve for x
    x = 585,900.36/703.41
  6. Step 6: Final answer
    x = 832.95

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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.