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Finding the Fourth Proportional to 948.48, 1,308 and 598.72

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Solution

The fourth proportional to 948.48, 1,308 and 598.72 is: 825.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.48 : 1,308 = 598.72 : x
  2. Step 2: Convert to fraction form
    948.48/1,308 = 598.72/x
  3. Step 3: Cross multiply
    948.48x = 1,308 × 598.72
  4. Step 4: Simplify right side
    948.48x = 783,125.76
  5. Step 5: Solve for x
    x = 783,125.76/948.48
  6. Step 6: Final answer
    x = 825.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.