Home / 1,307.74-1,962.42-577.93

Finding the Fourth Proportional to 1,307.74, 1,962.42 and 577.93

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Solution

The fourth proportional to 1,307.74, 1,962.42 and 577.93 is: 867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.74 : 1,962.42 = 577.93 : x
  2. Step 2: Convert to fraction form
    1,307.74/1,962.42 = 577.93/x
  3. Step 3: Cross multiply
    1,307.74x = 1,962.42 × 577.93
  4. Step 4: Simplify right side
    1,307.74x = 1,134,141.39
  5. Step 5: Solve for x
    x = 1,134,141.39/1,307.74
  6. Step 6: Final answer
    x = 867.25

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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.