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Finding the Fourth Proportional to 1,533.85, 2,300.72 and 493.91

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Solution

The fourth proportional to 1,533.85, 2,300.72 and 493.91 is: 740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.85 : 2,300.72 = 493.91 : x
  2. Step 2: Convert to fraction form
    1,533.85/2,300.72 = 493.91/x
  3. Step 3: Cross multiply
    1,533.85x = 2,300.72 × 493.91
  4. Step 4: Simplify right side
    1,533.85x = 1,136,334.64
  5. Step 5: Solve for x
    x = 1,136,334.64/1,533.85
  6. Step 6: Final answer
    x = 740.84

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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.