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Finding the Fourth Proportional to 705.72, 1,052.63 and 665.08

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Solution

The fourth proportional to 705.72, 1,052.63 and 665.08 is: 992.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.72 : 1,052.63 = 665.08 : x
  2. Step 2: Convert to fraction form
    705.72/1,052.63 = 665.08/x
  3. Step 3: Cross multiply
    705.72x = 1,052.63 × 665.08
  4. Step 4: Simplify right side
    705.72x = 700,077.20
  5. Step 5: Solve for x
    x = 700,077.20/705.72
  6. Step 6: Final answer
    x = 992.00

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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.