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Finding the Fourth Proportional to 985.13, 1,475.56 and 464.35

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Solution

The fourth proportional to 985.13, 1,475.56 and 464.35 is: 695.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.13 : 1,475.56 = 464.35 : x
  2. Step 2: Convert to fraction form
    985.13/1,475.56 = 464.35/x
  3. Step 3: Cross multiply
    985.13x = 1,475.56 × 464.35
  4. Step 4: Simplify right side
    985.13x = 685,176.29
  5. Step 5: Solve for x
    x = 685,176.29/985.13
  6. Step 6: Final answer
    x = 695.52

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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.