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Finding the Fourth Proportional to 693.11, 1,037.78 and 530.03

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Solution

The fourth proportional to 693.11, 1,037.78 and 530.03 is: 793.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.11 : 1,037.78 = 530.03 : x
  2. Step 2: Convert to fraction form
    693.11/1,037.78 = 530.03/x
  3. Step 3: Cross multiply
    693.11x = 1,037.78 × 530.03
  4. Step 4: Simplify right side
    693.11x = 550,051.88
  5. Step 5: Solve for x
    x = 550,051.88/693.11
  6. Step 6: Final answer
    x = 793.60

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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.