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Finding the Fourth Proportional to 970.17, 1,452.61 and 506.98

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Solution

The fourth proportional to 970.17, 1,452.61 and 506.98 is: 759.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.17 : 1,452.61 = 506.98 : x
  2. Step 2: Convert to fraction form
    970.17/1,452.61 = 506.98/x
  3. Step 3: Cross multiply
    970.17x = 1,452.61 × 506.98
  4. Step 4: Simplify right side
    970.17x = 736,444.22
  5. Step 5: Solve for x
    x = 736,444.22/970.17
  6. Step 6: Final answer
    x = 759.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.