Home / 1,307.90-1,962.25-614.54

Finding the Fourth Proportional to 1,307.90, 1,962.25 and 614.54

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Solution

The fourth proportional to 1,307.90, 1,962.25 and 614.54 is: 922.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.90 : 1,962.25 = 614.54 : x
  2. Step 2: Convert to fraction form
    1,307.90/1,962.25 = 614.54/x
  3. Step 3: Cross multiply
    1,307.90x = 1,962.25 × 614.54
  4. Step 4: Simplify right side
    1,307.90x = 1,205,880.58
  5. Step 5: Solve for x
    x = 1,205,880.58/1,307.90
  6. Step 6: Final answer
    x = 922.00

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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.