Home / 1,307.89-1,962.42-577.68

Finding the Fourth Proportional to 1,307.89, 1,962.42 and 577.68

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Solution

The fourth proportional to 1,307.89, 1,962.42 and 577.68 is: 866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.89 : 1,962.42 = 577.68 : x
  2. Step 2: Convert to fraction form
    1,307.89/1,962.42 = 577.68/x
  3. Step 3: Cross multiply
    1,307.89x = 1,962.42 × 577.68
  4. Step 4: Simplify right side
    1,307.89x = 1,133,650.79
  5. Step 5: Solve for x
    x = 1,133,650.79/1,307.89
  6. Step 6: Final answer
    x = 866.78

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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.