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Finding the Fourth Proportional to 707.06, 1,058.70 and 432.60

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Solution

The fourth proportional to 707.06, 1,058.70 and 432.60 is: 647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.06 : 1,058.70 = 432.60 : x
  2. Step 2: Convert to fraction form
    707.06/1,058.70 = 432.60/x
  3. Step 3: Cross multiply
    707.06x = 1,058.70 × 432.60
  4. Step 4: Simplify right side
    707.06x = 457,993.62
  5. Step 5: Solve for x
    x = 457,993.62/707.06
  6. Step 6: Final answer
    x = 647.74

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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.