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Finding the Fourth Proportional to 1,058.32, 1,585.50 and 472.69

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Solution

The fourth proportional to 1,058.32, 1,585.50 and 472.69 is: 708.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.32 : 1,585.50 = 472.69 : x
  2. Step 2: Convert to fraction form
    1,058.32/1,585.50 = 472.69/x
  3. Step 3: Cross multiply
    1,058.32x = 1,585.50 × 472.69
  4. Step 4: Simplify right side
    1,058.32x = 749,450.00
  5. Step 5: Solve for x
    x = 749,450.00/1,058.32
  6. Step 6: Final answer
    x = 708.15

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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.