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Finding the Fourth Proportional to 700.60, 968.16 and 534.64

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Solution

The fourth proportional to 700.60, 968.16 and 534.64 is: 738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.60 : 968.16 = 534.64 : x
  2. Step 2: Convert to fraction form
    700.60/968.16 = 534.64/x
  3. Step 3: Cross multiply
    700.60x = 968.16 × 534.64
  4. Step 4: Simplify right side
    700.60x = 517,617.06
  5. Step 5: Solve for x
    x = 517,617.06/700.60
  6. Step 6: Final answer
    x = 738.82

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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.