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Finding the Fourth Proportional to 870.37, 1,302.45 and 756.16

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Solution

The fourth proportional to 870.37, 1,302.45 and 756.16 is: 1,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.37 : 1,302.45 = 756.16 : x
  2. Step 2: Convert to fraction form
    870.37/1,302.45 = 756.16/x
  3. Step 3: Cross multiply
    870.37x = 1,302.45 × 756.16
  4. Step 4: Simplify right side
    870.37x = 984,860.59
  5. Step 5: Solve for x
    x = 984,860.59/870.37
  6. Step 6: Final answer
    x = 1,131.54

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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.