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Finding the Fourth Proportional to 705.19, 1,058.35 and 499.96

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Solution

The fourth proportional to 705.19, 1,058.35 and 499.96 is: 750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.19 : 1,058.35 = 499.96 : x
  2. Step 2: Convert to fraction form
    705.19/1,058.35 = 499.96/x
  3. Step 3: Cross multiply
    705.19x = 1,058.35 × 499.96
  4. Step 4: Simplify right side
    705.19x = 529,132.67
  5. Step 5: Solve for x
    x = 529,132.67/705.19
  6. Step 6: Final answer
    x = 750.34

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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.