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Finding the Fourth Proportional to 697.76, 960.16 and 570.58

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Solution

The fourth proportional to 697.76, 960.16 and 570.58 is: 785.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.76 : 960.16 = 570.58 : x
  2. Step 2: Convert to fraction form
    697.76/960.16 = 570.58/x
  3. Step 3: Cross multiply
    697.76x = 960.16 × 570.58
  4. Step 4: Simplify right side
    697.76x = 547,848.09
  5. Step 5: Solve for x
    x = 547,848.09/697.76
  6. Step 6: Final answer
    x = 785.15

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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.