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Finding the Fourth Proportional to 2,389.32, 3,583.56 and 658.08

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Solution

The fourth proportional to 2,389.32, 3,583.56 and 658.08 is: 987.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.32 : 3,583.56 = 658.08 : x
  2. Step 2: Convert to fraction form
    2,389.32/3,583.56 = 658.08/x
  3. Step 3: Cross multiply
    2,389.32x = 3,583.56 × 658.08
  4. Step 4: Simplify right side
    2,389.32x = 2,358,269.16
  5. Step 5: Solve for x
    x = 2,358,269.16/2,389.32
  6. Step 6: Final answer
    x = 987.00

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1.5x scale

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.