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Finding the Fourth Proportional to 985.02, 1,358.73 and 591.72

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Solution

The fourth proportional to 985.02, 1,358.73 and 591.72 is: 816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.02 : 1,358.73 = 591.72 : x
  2. Step 2: Convert to fraction form
    985.02/1,358.73 = 591.72/x
  3. Step 3: Cross multiply
    985.02x = 1,358.73 × 591.72
  4. Step 4: Simplify right side
    985.02x = 803,987.72
  5. Step 5: Solve for x
    x = 803,987.72/985.02
  6. Step 6: Final answer
    x = 816.21

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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.