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Finding the Fourth Proportional to 1,307.21, 1,952.91 and 841.19

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Solution

The fourth proportional to 1,307.21, 1,952.91 and 841.19 is: 1,256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.21 : 1,952.91 = 841.19 : x
  2. Step 2: Convert to fraction form
    1,307.21/1,952.91 = 841.19/x
  3. Step 3: Cross multiply
    1,307.21x = 1,952.91 × 841.19
  4. Step 4: Simplify right side
    1,307.21x = 1,642,758.60
  5. Step 5: Solve for x
    x = 1,642,758.60/1,307.21
  6. Step 6: Final answer
    x = 1,256.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.