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Finding the Fourth Proportional to 899.91, 1,242.68 and 692.15

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Solution

The fourth proportional to 899.91, 1,242.68 and 692.15 is: 955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.91 : 1,242.68 = 692.15 : x
  2. Step 2: Convert to fraction form
    899.91/1,242.68 = 692.15/x
  3. Step 3: Cross multiply
    899.91x = 1,242.68 × 692.15
  4. Step 4: Simplify right side
    899.91x = 860,111.29
  5. Step 5: Solve for x
    x = 860,111.29/899.91
  6. Step 6: Final answer
    x = 955.77

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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.