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Finding the Fourth Proportional to 706.92, 1,055.91 and 597.57

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Solution

The fourth proportional to 706.92, 1,055.91 and 597.57 is: 892.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.92 : 1,055.91 = 597.57 : x
  2. Step 2: Convert to fraction form
    706.92/1,055.91 = 597.57/x
  3. Step 3: Cross multiply
    706.92x = 1,055.91 × 597.57
  4. Step 4: Simplify right side
    706.92x = 630,980.14
  5. Step 5: Solve for x
    x = 630,980.14/706.92
  6. Step 6: Final answer
    x = 892.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.