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Finding the Fourth Proportional to 1,307.40, 1,961.40 and 382.94

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Solution

The fourth proportional to 1,307.40, 1,961.40 and 382.94 is: 574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.40 : 1,961.40 = 382.94 : x
  2. Step 2: Convert to fraction form
    1,307.40/1,961.40 = 382.94/x
  3. Step 3: Cross multiply
    1,307.40x = 1,961.40 × 382.94
  4. Step 4: Simplify right side
    1,307.40x = 751,088.71
  5. Step 5: Solve for x
    x = 751,088.71/1,307.40
  6. Step 6: Final answer
    x = 574.49

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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.