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Finding the Fourth Proportional to 1,158.90, 1,598.58 and 937.50

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Solution

The fourth proportional to 1,158.90, 1,598.58 and 937.50 is: 1,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.90 : 1,598.58 = 937.50 : x
  2. Step 2: Convert to fraction form
    1,158.90/1,598.58 = 937.50/x
  3. Step 3: Cross multiply
    1,158.90x = 1,598.58 × 937.50
  4. Step 4: Simplify right side
    1,158.90x = 1,498,668.75
  5. Step 5: Solve for x
    x = 1,498,668.75/1,158.90
  6. Step 6: Final answer
    x = 1,293.18

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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.