Home / 1,287.65-1,931.30-557.14

Finding the Fourth Proportional to 1,287.65, 1,931.30 and 557.14

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Solution

The fourth proportional to 1,287.65, 1,931.30 and 557.14 is: 835.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.65 : 1,931.30 = 557.14 : x
  2. Step 2: Convert to fraction form
    1,287.65/1,931.30 = 557.14/x
  3. Step 3: Cross multiply
    1,287.65x = 1,931.30 × 557.14
  4. Step 4: Simplify right side
    1,287.65x = 1,076,001.05
  5. Step 5: Solve for x
    x = 1,076,001.05/1,287.65
  6. Step 6: Final answer
    x = 835.63

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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.