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Finding the Fourth Proportional to 1,006.81, 1,510.71 and 458.87

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Solution

The fourth proportional to 1,006.81, 1,510.71 and 458.87 is: 688.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.81 : 1,510.71 = 458.87 : x
  2. Step 2: Convert to fraction form
    1,006.81/1,510.71 = 458.87/x
  3. Step 3: Cross multiply
    1,006.81x = 1,510.71 × 458.87
  4. Step 4: Simplify right side
    1,006.81x = 693,219.50
  5. Step 5: Solve for x
    x = 693,219.50/1,006.81
  6. Step 6: Final answer
    x = 688.53

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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.