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Finding the Fourth Proportional to 734.56, 1,013.42 and 524.76

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Solution

The fourth proportional to 734.56, 1,013.42 and 524.76 is: 723.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.56 : 1,013.42 = 524.76 : x
  2. Step 2: Convert to fraction form
    734.56/1,013.42 = 524.76/x
  3. Step 3: Cross multiply
    734.56x = 1,013.42 × 524.76
  4. Step 4: Simplify right side
    734.56x = 531,802.28
  5. Step 5: Solve for x
    x = 531,802.28/734.56
  6. Step 6: Final answer
    x = 723.97

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Half scale
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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.