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Finding the Fourth Proportional to 1,006.98, 1,510.47 and 348.90

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Solution

The fourth proportional to 1,006.98, 1,510.47 and 348.90 is: 523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.98 : 1,510.47 = 348.90 : x
  2. Step 2: Convert to fraction form
    1,006.98/1,510.47 = 348.90/x
  3. Step 3: Cross multiply
    1,006.98x = 1,510.47 × 348.90
  4. Step 4: Simplify right side
    1,006.98x = 527,002.98
  5. Step 5: Solve for x
    x = 527,002.98/1,006.98
  6. Step 6: Final answer
    x = 523.35

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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.