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Finding the Fourth Proportional to 701.64, 1,054.28 and 570.31

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Solution

The fourth proportional to 701.64, 1,054.28 and 570.31 is: 856.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.64 : 1,054.28 = 570.31 : x
  2. Step 2: Convert to fraction form
    701.64/1,054.28 = 570.31/x
  3. Step 3: Cross multiply
    701.64x = 1,054.28 × 570.31
  4. Step 4: Simplify right side
    701.64x = 601,265.22
  5. Step 5: Solve for x
    x = 601,265.22/701.64
  6. Step 6: Final answer
    x = 856.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.