Home / 1,055.40-1,583.64-507.54

Finding the Fourth Proportional to 1,055.40, 1,583.64 and 507.54

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Solution

The fourth proportional to 1,055.40, 1,583.64 and 507.54 is: 761.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.40 : 1,583.64 = 507.54 : x
  2. Step 2: Convert to fraction form
    1,055.40/1,583.64 = 507.54/x
  3. Step 3: Cross multiply
    1,055.40x = 1,583.64 × 507.54
  4. Step 4: Simplify right side
    1,055.40x = 803,760.65
  5. Step 5: Solve for x
    x = 803,760.65/1,055.40
  6. Step 6: Final answer
    x = 761.57

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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.