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Finding the Fourth Proportional to 1,006.66, 1,509.67 and 322.50

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Solution

The fourth proportional to 1,006.66, 1,509.67 and 322.50 is: 483.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.66 : 1,509.67 = 322.50 : x
  2. Step 2: Convert to fraction form
    1,006.66/1,509.67 = 322.50/x
  3. Step 3: Cross multiply
    1,006.66x = 1,509.67 × 322.50
  4. Step 4: Simplify right side
    1,006.66x = 486,868.58
  5. Step 5: Solve for x
    x = 486,868.58/1,006.66
  6. Step 6: Final answer
    x = 483.65

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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.