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Finding the Fourth Proportional to 1,006.68, 1,509.64 and 348.39

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Solution

The fourth proportional to 1,006.68, 1,509.64 and 348.39 is: 522.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.68 : 1,509.64 = 348.39 : x
  2. Step 2: Convert to fraction form
    1,006.68/1,509.64 = 348.39/x
  3. Step 3: Cross multiply
    1,006.68x = 1,509.64 × 348.39
  4. Step 4: Simplify right side
    1,006.68x = 525,943.48
  5. Step 5: Solve for x
    x = 525,943.48/1,006.68
  6. Step 6: Final answer
    x = 522.45

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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.