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Finding the Fourth Proportional to 734.26, 1,012.70 and 472.30

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Solution

The fourth proportional to 734.26, 1,012.70 and 472.30 is: 651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.26 : 1,012.70 = 472.30 : x
  2. Step 2: Convert to fraction form
    734.26/1,012.70 = 472.30/x
  3. Step 3: Cross multiply
    734.26x = 1,012.70 × 472.30
  4. Step 4: Simplify right side
    734.26x = 478,298.21
  5. Step 5: Solve for x
    x = 478,298.21/734.26
  6. Step 6: Final answer
    x = 651.40

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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.