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Finding the Fourth Proportional to 1,256.94, 1,734.67 and 697.40

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Solution

The fourth proportional to 1,256.94, 1,734.67 and 697.40 is: 962.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.94 : 1,734.67 = 697.40 : x
  2. Step 2: Convert to fraction form
    1,256.94/1,734.67 = 697.40/x
  3. Step 3: Cross multiply
    1,256.94x = 1,734.67 × 697.40
  4. Step 4: Simplify right side
    1,256.94x = 1,209,755.37
  5. Step 5: Solve for x
    x = 1,209,755.37/1,256.94
  6. Step 6: Final answer
    x = 962.46

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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.