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Finding the Fourth Proportional to 692.31, 1,038.95 and 595.92

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Solution

The fourth proportional to 692.31, 1,038.95 and 595.92 is: 894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.31 : 1,038.95 = 595.92 : x
  2. Step 2: Convert to fraction form
    692.31/1,038.95 = 595.92/x
  3. Step 3: Cross multiply
    692.31x = 1,038.95 × 595.92
  4. Step 4: Simplify right side
    692.31x = 619,128.10
  5. Step 5: Solve for x
    x = 619,128.10/692.31
  6. Step 6: Final answer
    x = 894.29

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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.