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Finding the Fourth Proportional to 740.64, 1,111.76 and 506.54

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Solution

The fourth proportional to 740.64, 1,111.76 and 506.54 is: 760.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.64 : 1,111.76 = 506.54 : x
  2. Step 2: Convert to fraction form
    740.64/1,111.76 = 506.54/x
  3. Step 3: Cross multiply
    740.64x = 1,111.76 × 506.54
  4. Step 4: Simplify right side
    740.64x = 563,150.91
  5. Step 5: Solve for x
    x = 563,150.91/740.64
  6. Step 6: Final answer
    x = 760.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.