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Finding the Fourth Proportional to 707.18, 1,058.54 and 486.51

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Solution

The fourth proportional to 707.18, 1,058.54 and 486.51 is: 728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.18 : 1,058.54 = 486.51 : x
  2. Step 2: Convert to fraction form
    707.18/1,058.54 = 486.51/x
  3. Step 3: Cross multiply
    707.18x = 1,058.54 × 486.51
  4. Step 4: Simplify right side
    707.18x = 514,987.86
  5. Step 5: Solve for x
    x = 514,987.86/707.18
  6. Step 6: Final answer
    x = 728.23

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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.