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Finding the Fourth Proportional to 719.74, 1,078.80 and 556.93

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Solution

The fourth proportional to 719.74, 1,078.80 and 556.93 is: 834.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.74 : 1,078.80 = 556.93 : x
  2. Step 2: Convert to fraction form
    719.74/1,078.80 = 556.93/x
  3. Step 3: Cross multiply
    719.74x = 1,078.80 × 556.93
  4. Step 4: Simplify right side
    719.74x = 600,816.08
  5. Step 5: Solve for x
    x = 600,816.08/719.74
  6. Step 6: Final answer
    x = 834.77

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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.