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Finding the Fourth Proportional to 970.16, 1,337.22 and 689.48

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Solution

The fourth proportional to 970.16, 1,337.22 and 689.48 is: 950.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.16 : 1,337.22 = 689.48 : x
  2. Step 2: Convert to fraction form
    970.16/1,337.22 = 689.48/x
  3. Step 3: Cross multiply
    970.16x = 1,337.22 × 689.48
  4. Step 4: Simplify right side
    970.16x = 921,986.45
  5. Step 5: Solve for x
    x = 921,986.45/970.16
  6. Step 6: Final answer
    x = 950.34

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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.