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Finding the Fourth Proportional to 1,127.59, 1,692.60 and 946.96

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Solution

The fourth proportional to 1,127.59, 1,692.60 and 946.96 is: 1,421.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.59 : 1,692.60 = 946.96 : x
  2. Step 2: Convert to fraction form
    1,127.59/1,692.60 = 946.96/x
  3. Step 3: Cross multiply
    1,127.59x = 1,692.60 × 946.96
  4. Step 4: Simplify right side
    1,127.59x = 1,602,824.50
  5. Step 5: Solve for x
    x = 1,602,824.50/1,127.59
  6. Step 6: Final answer
    x = 1,421.46

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1.5x scale

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.