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Finding the Fourth Proportional to 970.30, 1,447.75 and 901.48

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Solution

The fourth proportional to 970.30, 1,447.75 and 901.48 is: 1,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.30 : 1,447.75 = 901.48 : x
  2. Step 2: Convert to fraction form
    970.30/1,447.75 = 901.48/x
  3. Step 3: Cross multiply
    970.30x = 1,447.75 × 901.48
  4. Step 4: Simplify right side
    970.30x = 1,305,113.16
  5. Step 5: Solve for x
    x = 1,305,113.16/970.30
  6. Step 6: Final answer
    x = 1,345.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.