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Finding the Fourth Proportional to 1,598.75, 2,206.28 and 900.14

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Solution

The fourth proportional to 1,598.75, 2,206.28 and 900.14 is: 1,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.75 : 2,206.28 = 900.14 : x
  2. Step 2: Convert to fraction form
    1,598.75/2,206.28 = 900.14/x
  3. Step 3: Cross multiply
    1,598.75x = 2,206.28 × 900.14
  4. Step 4: Simplify right side
    1,598.75x = 1,985,960.88
  5. Step 5: Solve for x
    x = 1,985,960.88/1,598.75
  6. Step 6: Final answer
    x = 1,242.20

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1.5x scale

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.