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Finding the Fourth Proportional to 948.52, 1,421.54 and 509.30

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Solution

The fourth proportional to 948.52, 1,421.54 and 509.30 is: 763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.52 : 1,421.54 = 509.30 : x
  2. Step 2: Convert to fraction form
    948.52/1,421.54 = 509.30/x
  3. Step 3: Cross multiply
    948.52x = 1,421.54 × 509.30
  4. Step 4: Simplify right side
    948.52x = 723,990.32
  5. Step 5: Solve for x
    x = 723,990.32/948.52
  6. Step 6: Final answer
    x = 763.28

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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.