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Finding the Fourth Proportional to 735.47, 1,014.89 and 420.74

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Solution

The fourth proportional to 735.47, 1,014.89 and 420.74 is: 580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.47 : 1,014.89 = 420.74 : x
  2. Step 2: Convert to fraction form
    735.47/1,014.89 = 420.74/x
  3. Step 3: Cross multiply
    735.47x = 1,014.89 × 420.74
  4. Step 4: Simplify right side
    735.47x = 427,004.82
  5. Step 5: Solve for x
    x = 427,004.82/735.47
  6. Step 6: Final answer
    x = 580.59

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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.