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Finding the Fourth Proportional to 734.51, 1,012.90 and 594.52

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Solution

The fourth proportional to 734.51, 1,012.90 and 594.52 is: 819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.51 : 1,012.90 = 594.52 : x
  2. Step 2: Convert to fraction form
    734.51/1,012.90 = 594.52/x
  3. Step 3: Cross multiply
    734.51x = 1,012.90 × 594.52
  4. Step 4: Simplify right side
    734.51x = 602,189.31
  5. Step 5: Solve for x
    x = 602,189.31/734.51
  6. Step 6: Final answer
    x = 819.85

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Double scale
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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.