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Finding the Fourth Proportional to 728.76, 1,005.48 and 433.80

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Solution

The fourth proportional to 728.76, 1,005.48 and 433.80 is: 598.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.76 : 1,005.48 = 433.80 : x
  2. Step 2: Convert to fraction form
    728.76/1,005.48 = 433.80/x
  3. Step 3: Cross multiply
    728.76x = 1,005.48 × 433.80
  4. Step 4: Simplify right side
    728.76x = 436,177.22
  5. Step 5: Solve for x
    x = 436,177.22/728.76
  6. Step 6: Final answer
    x = 598.52

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Find fourth proportional to 364.38, 502.74 and 216.90
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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.