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Finding the Fourth Proportional to 1,158.04, 1,598.09 and 634.07

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Solution

The fourth proportional to 1,158.04, 1,598.09 and 634.07 is: 875.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.04 : 1,598.09 = 634.07 : x
  2. Step 2: Convert to fraction form
    1,158.04/1,598.09 = 634.07/x
  3. Step 3: Cross multiply
    1,158.04x = 1,598.09 × 634.07
  4. Step 4: Simplify right side
    1,158.04x = 1,013,300.93
  5. Step 5: Solve for x
    x = 1,013,300.93/1,158.04
  6. Step 6: Final answer
    x = 875.01

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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.