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Finding the Fourth Proportional to 660, 985.04 and 586.02

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Solution

The fourth proportional to 660, 985.04 and 586.02 is: 874.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    660 : 985.04 = 586.02 : x
  2. Step 2: Convert to fraction form
    660/985.04 = 586.02/x
  3. Step 3: Cross multiply
    660x = 985.04 × 586.02
  4. Step 4: Simplify right side
    660x = 577,250.21
  5. Step 5: Solve for x
    x = 577,250.21/660
  6. Step 6: Final answer
    x = 874.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.