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Finding the Fourth Proportional to 705.49, 1,058.48 and 315.45

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Solution

The fourth proportional to 705.49, 1,058.48 and 315.45 is: 473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.49 : 1,058.48 = 315.45 : x
  2. Step 2: Convert to fraction form
    705.49/1,058.48 = 315.45/x
  3. Step 3: Cross multiply
    705.49x = 1,058.48 × 315.45
  4. Step 4: Simplify right side
    705.49x = 333,897.52
  5. Step 5: Solve for x
    x = 333,897.52/705.49
  6. Step 6: Final answer
    x = 473.28

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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.