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Finding the Fourth Proportional to 734.04, 1,012.77 and 454.19

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Solution

The fourth proportional to 734.04, 1,012.77 and 454.19 is: 626.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.04 : 1,012.77 = 454.19 : x
  2. Step 2: Convert to fraction form
    734.04/1,012.77 = 454.19/x
  3. Step 3: Cross multiply
    734.04x = 1,012.77 × 454.19
  4. Step 4: Simplify right side
    734.04x = 459,984.94
  5. Step 5: Solve for x
    x = 459,984.94/734.04
  6. Step 6: Final answer
    x = 626.65

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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.