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Finding the Fourth Proportional to 948.59, 1,308.68 and 700.50

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Solution

The fourth proportional to 948.59, 1,308.68 and 700.50 is: 966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.59 : 1,308.68 = 700.50 : x
  2. Step 2: Convert to fraction form
    948.59/1,308.68 = 700.50/x
  3. Step 3: Cross multiply
    948.59x = 1,308.68 × 700.50
  4. Step 4: Simplify right side
    948.59x = 916,730.34
  5. Step 5: Solve for x
    x = 916,730.34/948.59
  6. Step 6: Final answer
    x = 966.42

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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.