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Finding the Fourth Proportional to 1,307.96, 1,961.16 and 442.16

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Solution

The fourth proportional to 1,307.96, 1,961.16 and 442.16 is: 662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.96 : 1,961.16 = 442.16 : x
  2. Step 2: Convert to fraction form
    1,307.96/1,961.16 = 442.16/x
  3. Step 3: Cross multiply
    1,307.96x = 1,961.16 × 442.16
  4. Step 4: Simplify right side
    1,307.96x = 867,146.51
  5. Step 5: Solve for x
    x = 867,146.51/1,307.96
  6. Step 6: Final answer
    x = 662.98

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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.