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Finding the Fourth Proportional to 753.12, 1,130.40 and 465.12

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Solution

The fourth proportional to 753.12, 1,130.40 and 465.12 is: 698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.12 : 1,130.40 = 465.12 : x
  2. Step 2: Convert to fraction form
    753.12/1,130.40 = 465.12/x
  3. Step 3: Cross multiply
    753.12x = 1,130.40 × 465.12
  4. Step 4: Simplify right side
    753.12x = 525,771.65
  5. Step 5: Solve for x
    x = 525,771.65/753.12
  6. Step 6: Final answer
    x = 698.12

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1.5x scale

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.