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Finding the Fourth Proportional to 705, 1,056.06 and 430.86

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Solution

The fourth proportional to 705, 1,056.06 and 430.86 is: 645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    705 : 1,056.06 = 430.86 : x
  2. Step 2: Convert to fraction form
    705/1,056.06 = 430.86/x
  3. Step 3: Cross multiply
    705x = 1,056.06 × 430.86
  4. Step 4: Simplify right side
    705x = 455,014.01
  5. Step 5: Solve for x
    x = 455,014.01/705
  6. Step 6: Final answer
    x = 645.41

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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.