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Finding the Fourth Proportional to 1,113.13, 1,670.46 and 463.87

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Solution

The fourth proportional to 1,113.13, 1,670.46 and 463.87 is: 696.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.13 : 1,670.46 = 463.87 : x
  2. Step 2: Convert to fraction form
    1,113.13/1,670.46 = 463.87/x
  3. Step 3: Cross multiply
    1,113.13x = 1,670.46 × 463.87
  4. Step 4: Simplify right side
    1,113.13x = 774,876.28
  5. Step 5: Solve for x
    x = 774,876.28/1,113.13
  6. Step 6: Final answer
    x = 696.12

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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.