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Finding the Fourth Proportional to 706.42, 1,055.17 and 597.07

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Solution

The fourth proportional to 706.42, 1,055.17 and 597.07 is: 891.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.42 : 1,055.17 = 597.07 : x
  2. Step 2: Convert to fraction form
    706.42/1,055.17 = 597.07/x
  3. Step 3: Cross multiply
    706.42x = 1,055.17 × 597.07
  4. Step 4: Simplify right side
    706.42x = 630,010.35
  5. Step 5: Solve for x
    x = 630,010.35/706.42
  6. Step 6: Final answer
    x = 891.84

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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.