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Finding the Fourth Proportional to 970.58, 1,337.82 and 675.34

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Solution

The fourth proportional to 970.58, 1,337.82 and 675.34 is: 930.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.58 : 1,337.82 = 675.34 : x
  2. Step 2: Convert to fraction form
    970.58/1,337.82 = 675.34/x
  3. Step 3: Cross multiply
    970.58x = 1,337.82 × 675.34
  4. Step 4: Simplify right side
    970.58x = 903,477.48
  5. Step 5: Solve for x
    x = 903,477.48/970.58
  6. Step 6: Final answer
    x = 930.86

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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.