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Finding the Fourth Proportional to 706.08, 1,053.83 and 623.86

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Solution

The fourth proportional to 706.08, 1,053.83 and 623.86 is: 931.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.08 : 1,053.83 = 623.86 : x
  2. Step 2: Convert to fraction form
    706.08/1,053.83 = 623.86/x
  3. Step 3: Cross multiply
    706.08x = 1,053.83 × 623.86
  4. Step 4: Simplify right side
    706.08x = 657,442.38
  5. Step 5: Solve for x
    x = 657,442.38/706.08
  6. Step 6: Final answer
    x = 931.12

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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.