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Finding the Fourth Proportional to 923.55, 1,386.14 and 692.70

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Solution

The fourth proportional to 923.55, 1,386.14 and 692.70 is: 1,039.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.55 : 1,386.14 = 692.70 : x
  2. Step 2: Convert to fraction form
    923.55/1,386.14 = 692.70/x
  3. Step 3: Cross multiply
    923.55x = 1,386.14 × 692.70
  4. Step 4: Simplify right side
    923.55x = 960,175.71
  5. Step 5: Solve for x
    x = 960,175.71/923.55
  6. Step 6: Final answer
    x = 1,039.66

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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.