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Finding the Fourth Proportional to 735.50, 1,015.16 and 436.76

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Solution

The fourth proportional to 735.50, 1,015.16 and 436.76 is: 602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.50 : 1,015.16 = 436.76 : x
  2. Step 2: Convert to fraction form
    735.50/1,015.16 = 436.76/x
  3. Step 3: Cross multiply
    735.50x = 1,015.16 × 436.76
  4. Step 4: Simplify right side
    735.50x = 443,374.02
  5. Step 5: Solve for x
    x = 443,374.02/735.50
  6. Step 6: Final answer
    x = 602.82

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Find fourth proportional to 367.75, 507.58 and 218.38
Half scale
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Double scale
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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.