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Finding the Fourth Proportional to 753.51, 1,038.76 and 504.74

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Solution

The fourth proportional to 753.51, 1,038.76 and 504.74 is: 695.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.51 : 1,038.76 = 504.74 : x
  2. Step 2: Convert to fraction form
    753.51/1,038.76 = 504.74/x
  3. Step 3: Cross multiply
    753.51x = 1,038.76 × 504.74
  4. Step 4: Simplify right side
    753.51x = 524,305.06
  5. Step 5: Solve for x
    x = 524,305.06/753.51
  6. Step 6: Final answer
    x = 695.81

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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.