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Finding the Fourth Proportional to 703, 1,053.42 and 471.40

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Solution

The fourth proportional to 703, 1,053.42 and 471.40 is: 706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    703 : 1,053.42 = 471.40 : x
  2. Step 2: Convert to fraction form
    703/1,053.42 = 471.40/x
  3. Step 3: Cross multiply
    703x = 1,053.42 × 471.40
  4. Step 4: Simplify right side
    703x = 496,582.19
  5. Step 5: Solve for x
    x = 496,582.19/703
  6. Step 6: Final answer
    x = 706.38

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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.