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Finding the Fourth Proportional to 948.21, 1,421.00 and 558.47

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Solution

The fourth proportional to 948.21, 1,421.00 and 558.47 is: 836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.21 : 1,421.00 = 558.47 : x
  2. Step 2: Convert to fraction form
    948.21/1,421.00 = 558.47/x
  3. Step 3: Cross multiply
    948.21x = 1,421.00 × 558.47
  4. Step 4: Simplify right side
    948.21x = 793,582.30
  5. Step 5: Solve for x
    x = 793,582.30/948.21
  6. Step 6: Final answer
    x = 836.93

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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.