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Finding the Fourth Proportional to 752.09, 1,035.08 and 530.65

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Solution

The fourth proportional to 752.09, 1,035.08 and 530.65 is: 730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.09 : 1,035.08 = 530.65 : x
  2. Step 2: Convert to fraction form
    752.09/1,035.08 = 530.65/x
  3. Step 3: Cross multiply
    752.09x = 1,035.08 × 530.65
  4. Step 4: Simplify right side
    752.09x = 549,265.83
  5. Step 5: Solve for x
    x = 549,265.83/752.09
  6. Step 6: Final answer
    x = 730.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.