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Finding the Fourth Proportional to 692.30, 1,038.45 and 400.70

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Solution

The fourth proportional to 692.30, 1,038.45 and 400.70 is: 601.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.30 : 1,038.45 = 400.70 : x
  2. Step 2: Convert to fraction form
    692.30/1,038.45 = 400.70/x
  3. Step 3: Cross multiply
    692.30x = 1,038.45 × 400.70
  4. Step 4: Simplify right side
    692.30x = 416,106.92
  5. Step 5: Solve for x
    x = 416,106.92/692.30
  6. Step 6: Final answer
    x = 601.05

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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.