Home / 1,031.48-1,547.25-261.98

Finding the Fourth Proportional to 1,031.48, 1,547.25 and 261.98

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Solution

The fourth proportional to 1,031.48, 1,547.25 and 261.98 is: 392.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.48 : 1,547.25 = 261.98 : x
  2. Step 2: Convert to fraction form
    1,031.48/1,547.25 = 261.98/x
  3. Step 3: Cross multiply
    1,031.48x = 1,547.25 × 261.98
  4. Step 4: Simplify right side
    1,031.48x = 405,355.82
  5. Step 5: Solve for x
    x = 405,355.82/1,031.48
  6. Step 6: Final answer
    x = 392.98

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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.