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Finding the Fourth Proportional to 753.40, 1,039.26 and 543.34

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Solution

The fourth proportional to 753.40, 1,039.26 and 543.34 is: 749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.40 : 1,039.26 = 543.34 : x
  2. Step 2: Convert to fraction form
    753.40/1,039.26 = 543.34/x
  3. Step 3: Cross multiply
    753.40x = 1,039.26 × 543.34
  4. Step 4: Simplify right side
    753.40x = 564,671.53
  5. Step 5: Solve for x
    x = 564,671.53/753.40
  6. Step 6: Final answer
    x = 749.50

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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.