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Finding the Fourth Proportional to 1,006.35, 1,509.72 and 357.06

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Solution

The fourth proportional to 1,006.35, 1,509.72 and 357.06 is: 535.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.35 : 1,509.72 = 357.06 : x
  2. Step 2: Convert to fraction form
    1,006.35/1,509.72 = 357.06/x
  3. Step 3: Cross multiply
    1,006.35x = 1,509.72 × 357.06
  4. Step 4: Simplify right side
    1,006.35x = 539,060.62
  5. Step 5: Solve for x
    x = 539,060.62/1,006.35
  6. Step 6: Final answer
    x = 535.66

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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.