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Finding the Fourth Proportional to 1,006.81, 1,510.28 and 390.46

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Solution

The fourth proportional to 1,006.81, 1,510.28 and 390.46 is: 585.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.81 : 1,510.28 = 390.46 : x
  2. Step 2: Convert to fraction form
    1,006.81/1,510.28 = 390.46/x
  3. Step 3: Cross multiply
    1,006.81x = 1,510.28 × 390.46
  4. Step 4: Simplify right side
    1,006.81x = 589,703.93
  5. Step 5: Solve for x
    x = 589,703.93/1,006.81
  6. Step 6: Final answer
    x = 585.72

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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.