Home / 1,307.58-1,962.40-577.64

Finding the Fourth Proportional to 1,307.58, 1,962.40 and 577.64

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Solution

The fourth proportional to 1,307.58, 1,962.40 and 577.64 is: 866.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.58 : 1,962.40 = 577.64 : x
  2. Step 2: Convert to fraction form
    1,307.58/1,962.40 = 577.64/x
  3. Step 3: Cross multiply
    1,307.58x = 1,962.40 × 577.64
  4. Step 4: Simplify right side
    1,307.58x = 1,133,560.74
  5. Step 5: Solve for x
    x = 1,133,560.74/1,307.58
  6. Step 6: Final answer
    x = 866.92

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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.