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Finding the Fourth Proportional to 948.60, 1,306.86 and 904.86

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Solution

The fourth proportional to 948.60, 1,306.86 and 904.86 is: 1,246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.60 : 1,306.86 = 904.86 : x
  2. Step 2: Convert to fraction form
    948.60/1,306.86 = 904.86/x
  3. Step 3: Cross multiply
    948.60x = 1,306.86 × 904.86
  4. Step 4: Simplify right side
    948.60x = 1,182,525.34
  5. Step 5: Solve for x
    x = 1,182,525.34/948.60
  6. Step 6: Final answer
    x = 1,246.60

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1.5x scale

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.