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Finding the Fourth Proportional to 1,690.16, 2,533.12 and 910

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Solution

The fourth proportional to 1,690.16, 2,533.12 and 910 is: 1,363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.16 : 2,533.12 = 910 : x
  2. Step 2: Convert to fraction form
    1,690.16/2,533.12 = 910/x
  3. Step 3: Cross multiply
    1,690.16x = 2,533.12 × 910
  4. Step 4: Simplify right side
    1,690.16x = 2,305,139.20
  5. Step 5: Solve for x
    x = 2,305,139.20/1,690.16
  6. Step 6: Final answer
    x = 1,363.86

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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.