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Finding the Fourth Proportional to 703.20, 968.40 and 506.40

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Solution

The fourth proportional to 703.20, 968.40 and 506.40 is: 697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.20 : 968.40 = 506.40 : x
  2. Step 2: Convert to fraction form
    703.20/968.40 = 506.40/x
  3. Step 3: Cross multiply
    703.20x = 968.40 × 506.40
  4. Step 4: Simplify right side
    703.20x = 490,397.76
  5. Step 5: Solve for x
    x = 490,397.76/703.20
  6. Step 6: Final answer
    x = 697.38

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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.