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Finding the Fourth Proportional to 1,007.80, 1,509.90 and 521.24

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Solution

The fourth proportional to 1,007.80, 1,509.90 and 521.24 is: 780.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.80 : 1,509.90 = 521.24 : x
  2. Step 2: Convert to fraction form
    1,007.80/1,509.90 = 521.24/x
  3. Step 3: Cross multiply
    1,007.80x = 1,509.90 × 521.24
  4. Step 4: Simplify right side
    1,007.80x = 787,020.28
  5. Step 5: Solve for x
    x = 787,020.28/1,007.80
  6. Step 6: Final answer
    x = 780.93

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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.