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Finding the Fourth Proportional to 736.65, 1,103.64 and 530.10

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Solution

The fourth proportional to 736.65, 1,103.64 and 530.10 is: 794.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.65 : 1,103.64 = 530.10 : x
  2. Step 2: Convert to fraction form
    736.65/1,103.64 = 530.10/x
  3. Step 3: Cross multiply
    736.65x = 1,103.64 × 530.10
  4. Step 4: Simplify right side
    736.65x = 585,039.56
  5. Step 5: Solve for x
    x = 585,039.56/736.65
  6. Step 6: Final answer
    x = 794.19

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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.