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Finding the Fourth Proportional to 734.74, 1,014.95 and 571.04

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Solution

The fourth proportional to 734.74, 1,014.95 and 571.04 is: 788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.74 : 1,014.95 = 571.04 : x
  2. Step 2: Convert to fraction form
    734.74/1,014.95 = 571.04/x
  3. Step 3: Cross multiply
    734.74x = 1,014.95 × 571.04
  4. Step 4: Simplify right side
    734.74x = 579,577.05
  5. Step 5: Solve for x
    x = 579,577.05/734.74
  6. Step 6: Final answer
    x = 788.82

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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.