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Finding the Fourth Proportional to 1,089.60, 1,498.08 and 970.46

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Solution

The fourth proportional to 1,089.60, 1,498.08 and 970.46 is: 1,334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.60 : 1,498.08 = 970.46 : x
  2. Step 2: Convert to fraction form
    1,089.60/1,498.08 = 970.46/x
  3. Step 3: Cross multiply
    1,089.60x = 1,498.08 × 970.46
  4. Step 4: Simplify right side
    1,089.60x = 1,453,819.23
  5. Step 5: Solve for x
    x = 1,453,819.23/1,089.60
  6. Step 6: Final answer
    x = 1,334.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.