Home / 1,288.14-1,931.01-508.00

Finding the Fourth Proportional to 1,288.14, 1,931.01 and 508.00

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Solution

The fourth proportional to 1,288.14, 1,931.01 and 508.00 is: 761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.14 : 1,931.01 = 508.00 : x
  2. Step 2: Convert to fraction form
    1,288.14/1,931.01 = 508.00/x
  3. Step 3: Cross multiply
    1,288.14x = 1,931.01 × 508.00
  4. Step 4: Simplify right side
    1,288.14x = 980,948.25
  5. Step 5: Solve for x
    x = 980,948.25/1,288.14
  6. Step 6: Final answer
    x = 761.52

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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.