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Finding the Fourth Proportional to 706.02, 1,056.60 and 432.24

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Solution

The fourth proportional to 706.02, 1,056.60 and 432.24 is: 646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.02 : 1,056.60 = 432.24 : x
  2. Step 2: Convert to fraction form
    706.02/1,056.60 = 432.24/x
  3. Step 3: Cross multiply
    706.02x = 1,056.60 × 432.24
  4. Step 4: Simplify right side
    706.02x = 456,704.78
  5. Step 5: Solve for x
    x = 456,704.78/706.02
  6. Step 6: Final answer
    x = 646.87

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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.