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Finding the Fourth Proportional to 785.01, 1,175.04 and 507

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Solution

The fourth proportional to 785.01, 1,175.04 and 507 is: 758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.01 : 1,175.04 = 507 : x
  2. Step 2: Convert to fraction form
    785.01/1,175.04 = 507/x
  3. Step 3: Cross multiply
    785.01x = 1,175.04 × 507
  4. Step 4: Simplify right side
    785.01x = 595,745.28
  5. Step 5: Solve for x
    x = 595,745.28/785.01
  6. Step 6: Final answer
    x = 758.90

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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.