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Finding the Fourth Proportional to 1,082.99, 1,625.07 and 535.07

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Solution

The fourth proportional to 1,082.99, 1,625.07 and 535.07 is: 802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.99 : 1,625.07 = 535.07 : x
  2. Step 2: Convert to fraction form
    1,082.99/1,625.07 = 535.07/x
  3. Step 3: Cross multiply
    1,082.99x = 1,625.07 × 535.07
  4. Step 4: Simplify right side
    1,082.99x = 869,526.20
  5. Step 5: Solve for x
    x = 869,526.20/1,082.99
  6. Step 6: Final answer
    x = 802.89

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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.