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Finding the Fourth Proportional to 734.40, 1,011.60 and 578.88

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Solution

The fourth proportional to 734.40, 1,011.60 and 578.88 is: 797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.40 : 1,011.60 = 578.88 : x
  2. Step 2: Convert to fraction form
    734.40/1,011.60 = 578.88/x
  3. Step 3: Cross multiply
    734.40x = 1,011.60 × 578.88
  4. Step 4: Simplify right side
    734.40x = 585,595.01
  5. Step 5: Solve for x
    x = 585,595.01/734.40
  6. Step 6: Final answer
    x = 797.38

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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.