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Finding the Fourth Proportional to 740.48, 1,020.48 and 533.12

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Solution

The fourth proportional to 740.48, 1,020.48 and 533.12 is: 734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.48 : 1,020.48 = 533.12 : x
  2. Step 2: Convert to fraction form
    740.48/1,020.48 = 533.12/x
  3. Step 3: Cross multiply
    740.48x = 1,020.48 × 533.12
  4. Step 4: Simplify right side
    740.48x = 544,038.30
  5. Step 5: Solve for x
    x = 544,038.30/740.48
  6. Step 6: Final answer
    x = 734.71

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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.