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Finding the Fourth Proportional to 767.50, 1,058.82 and 590.16

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Solution

The fourth proportional to 767.50, 1,058.82 and 590.16 is: 814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.50 : 1,058.82 = 590.16 : x
  2. Step 2: Convert to fraction form
    767.50/1,058.82 = 590.16/x
  3. Step 3: Cross multiply
    767.50x = 1,058.82 × 590.16
  4. Step 4: Simplify right side
    767.50x = 624,873.21
  5. Step 5: Solve for x
    x = 624,873.21/767.50
  6. Step 6: Final answer
    x = 814.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.