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Finding the Fourth Proportional to 948.94, 1,421.58 and 754.30

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Solution

The fourth proportional to 948.94, 1,421.58 and 754.30 is: 1,130.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.94 : 1,421.58 = 754.30 : x
  2. Step 2: Convert to fraction form
    948.94/1,421.58 = 754.30/x
  3. Step 3: Cross multiply
    948.94x = 1,421.58 × 754.30
  4. Step 4: Simplify right side
    948.94x = 1,072,297.79
  5. Step 5: Solve for x
    x = 1,072,297.79/948.94
  6. Step 6: Final answer
    x = 1,130.00

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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.