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Finding the Fourth Proportional to 705.58, 1,056.32 and 523.79

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Solution

The fourth proportional to 705.58, 1,056.32 and 523.79 is: 784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.58 : 1,056.32 = 523.79 : x
  2. Step 2: Convert to fraction form
    705.58/1,056.32 = 523.79/x
  3. Step 3: Cross multiply
    705.58x = 1,056.32 × 523.79
  4. Step 4: Simplify right side
    705.58x = 553,284.57
  5. Step 5: Solve for x
    x = 553,284.57/705.58
  6. Step 6: Final answer
    x = 784.16

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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.