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Finding the Fourth Proportional to 705.51, 1,058.30 and 612.18

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Solution

The fourth proportional to 705.51, 1,058.30 and 612.18 is: 918.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.51 : 1,058.30 = 612.18 : x
  2. Step 2: Convert to fraction form
    705.51/1,058.30 = 612.18/x
  3. Step 3: Cross multiply
    705.51x = 1,058.30 × 612.18
  4. Step 4: Simplify right side
    705.51x = 647,870.09
  5. Step 5: Solve for x
    x = 647,870.09/705.51
  6. Step 6: Final answer
    x = 918.30

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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.