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Finding the Fourth Proportional to 1,058.74, 1,588.53 and 766.62

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Solution

The fourth proportional to 1,058.74, 1,588.53 and 766.62 is: 1,150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.74 : 1,588.53 = 766.62 : x
  2. Step 2: Convert to fraction form
    1,058.74/1,588.53 = 766.62/x
  3. Step 3: Cross multiply
    1,058.74x = 1,588.53 × 766.62
  4. Step 4: Simplify right side
    1,058.74x = 1,217,798.87
  5. Step 5: Solve for x
    x = 1,217,798.87/1,058.74
  6. Step 6: Final answer
    x = 1,150.23

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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.