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Finding the Fourth Proportional to 712.94, 1,069.74 and 493.90

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Solution

The fourth proportional to 712.94, 1,069.74 and 493.90 is: 741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.94 : 1,069.74 = 493.90 : x
  2. Step 2: Convert to fraction form
    712.94/1,069.74 = 493.90/x
  3. Step 3: Cross multiply
    712.94x = 1,069.74 × 493.90
  4. Step 4: Simplify right side
    712.94x = 528,341.91
  5. Step 5: Solve for x
    x = 528,341.91/712.94
  6. Step 6: Final answer
    x = 741.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.