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Finding the Fourth Proportional to 935.72, 1,404.21 and 705.14

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Solution

The fourth proportional to 935.72, 1,404.21 and 705.14 is: 1,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.72 : 1,404.21 = 705.14 : x
  2. Step 2: Convert to fraction form
    935.72/1,404.21 = 705.14/x
  3. Step 3: Cross multiply
    935.72x = 1,404.21 × 705.14
  4. Step 4: Simplify right side
    935.72x = 990,164.64
  5. Step 5: Solve for x
    x = 990,164.64/935.72
  6. Step 6: Final answer
    x = 1,058.18

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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.