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Finding the Fourth Proportional to 948.50, 1,308.50 and 555.35

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Solution

The fourth proportional to 948.50, 1,308.50 and 555.35 is: 766.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.50 : 1,308.50 = 555.35 : x
  2. Step 2: Convert to fraction form
    948.50/1,308.50 = 555.35/x
  3. Step 3: Cross multiply
    948.50x = 1,308.50 × 555.35
  4. Step 4: Simplify right side
    948.50x = 726,675.48
  5. Step 5: Solve for x
    x = 726,675.48/948.50
  6. Step 6: Final answer
    x = 766.13

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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.