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Finding the Fourth Proportional to 1,007.40, 1,509.21 and 573.24

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Solution

The fourth proportional to 1,007.40, 1,509.21 and 573.24 is: 858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.40 : 1,509.21 = 573.24 : x
  2. Step 2: Convert to fraction form
    1,007.40/1,509.21 = 573.24/x
  3. Step 3: Cross multiply
    1,007.40x = 1,509.21 × 573.24
  4. Step 4: Simplify right side
    1,007.40x = 865,139.54
  5. Step 5: Solve for x
    x = 865,139.54/1,007.40
  6. Step 6: Final answer
    x = 858.78

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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.