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Finding the Fourth Proportional to 1,058.80, 1,588.02 and 289.12

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Solution

The fourth proportional to 1,058.80, 1,588.02 and 289.12 is: 433.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.80 : 1,588.02 = 289.12 : x
  2. Step 2: Convert to fraction form
    1,058.80/1,588.02 = 289.12/x
  3. Step 3: Cross multiply
    1,058.80x = 1,588.02 × 289.12
  4. Step 4: Simplify right side
    1,058.80x = 459,128.34
  5. Step 5: Solve for x
    x = 459,128.34/1,058.80
  6. Step 6: Final answer
    x = 433.63

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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.