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Finding the Fourth Proportional to 1,000.17, 1,379.85 and 607.05

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Solution

The fourth proportional to 1,000.17, 1,379.85 and 607.05 is: 837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.17 : 1,379.85 = 607.05 : x
  2. Step 2: Convert to fraction form
    1,000.17/1,379.85 = 607.05/x
  3. Step 3: Cross multiply
    1,000.17x = 1,379.85 × 607.05
  4. Step 4: Simplify right side
    1,000.17x = 837,637.94
  5. Step 5: Solve for x
    x = 837,637.94/1,000.17
  6. Step 6: Final answer
    x = 837.50

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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.