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Finding the Fourth Proportional to 1,000.17, 1,378.98 and 645.51

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Solution

The fourth proportional to 1,000.17, 1,378.98 and 645.51 is: 889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.17 : 1,378.98 = 645.51 : x
  2. Step 2: Convert to fraction form
    1,000.17/1,378.98 = 645.51/x
  3. Step 3: Cross multiply
    1,000.17x = 1,378.98 × 645.51
  4. Step 4: Simplify right side
    1,000.17x = 890,145.38
  5. Step 5: Solve for x
    x = 890,145.38/1,000.17
  6. Step 6: Final answer
    x = 889.99

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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.