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Finding the Fourth Proportional to 692.04, 1,038.17 and 568.77

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Solution

The fourth proportional to 692.04, 1,038.17 and 568.77 is: 853.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.04 : 1,038.17 = 568.77 : x
  2. Step 2: Convert to fraction form
    692.04/1,038.17 = 568.77/x
  3. Step 3: Cross multiply
    692.04x = 1,038.17 × 568.77
  4. Step 4: Simplify right side
    692.04x = 590,480.12
  5. Step 5: Solve for x
    x = 590,480.12/692.04
  6. Step 6: Final answer
    x = 853.24

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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.