Home / 1,030.17-1,544.23-510.55

Finding the Fourth Proportional to 1,030.17, 1,544.23 and 510.55

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Solution

The fourth proportional to 1,030.17, 1,544.23 and 510.55 is: 765.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.17 : 1,544.23 = 510.55 : x
  2. Step 2: Convert to fraction form
    1,030.17/1,544.23 = 510.55/x
  3. Step 3: Cross multiply
    1,030.17x = 1,544.23 × 510.55
  4. Step 4: Simplify right side
    1,030.17x = 788,410.65
  5. Step 5: Solve for x
    x = 788,410.65/1,030.17
  6. Step 6: Final answer
    x = 765.32

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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.