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Finding the Fourth Proportional to 1,470.84, 2,206.31 and 533.98

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Solution

The fourth proportional to 1,470.84, 2,206.31 and 533.98 is: 800.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.84 : 2,206.31 = 533.98 : x
  2. Step 2: Convert to fraction form
    1,470.84/2,206.31 = 533.98/x
  3. Step 3: Cross multiply
    1,470.84x = 2,206.31 × 533.98
  4. Step 4: Simplify right side
    1,470.84x = 1,178,125.41
  5. Step 5: Solve for x
    x = 1,178,125.41/1,470.84
  6. Step 6: Final answer
    x = 800.99

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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.