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Finding the Fourth Proportional to 735.60, 1,014.60 and 425.16

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Solution

The fourth proportional to 735.60, 1,014.60 and 425.16 is: 586.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.60 : 1,014.60 = 425.16 : x
  2. Step 2: Convert to fraction form
    735.60/1,014.60 = 425.16/x
  3. Step 3: Cross multiply
    735.60x = 1,014.60 × 425.16
  4. Step 4: Simplify right side
    735.60x = 431,367.34
  5. Step 5: Solve for x
    x = 431,367.34/735.60
  6. Step 6: Final answer
    x = 586.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.