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Finding the Fourth Proportional to 803.68, 1,109.10 and 493.18

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Solution

The fourth proportional to 803.68, 1,109.10 and 493.18 is: 680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.68 : 1,109.10 = 493.18 : x
  2. Step 2: Convert to fraction form
    803.68/1,109.10 = 493.18/x
  3. Step 3: Cross multiply
    803.68x = 1,109.10 × 493.18
  4. Step 4: Simplify right side
    803.68x = 546,985.94
  5. Step 5: Solve for x
    x = 546,985.94/803.68
  6. Step 6: Final answer
    x = 680.60

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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.