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Finding the Fourth Proportional to 1,157.99, 1,598.02 and 634.01

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Solution

The fourth proportional to 1,157.99, 1,598.02 and 634.01 is: 874.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.99 : 1,598.02 = 634.01 : x
  2. Step 2: Convert to fraction form
    1,157.99/1,598.02 = 634.01/x
  3. Step 3: Cross multiply
    1,157.99x = 1,598.02 × 634.01
  4. Step 4: Simplify right side
    1,157.99x = 1,013,151.09
  5. Step 5: Solve for x
    x = 1,013,151.09/1,157.99
  6. Step 6: Final answer
    x = 874.93

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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.