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Finding the Fourth Proportional to 1,004.96, 1,507.62 and 542.98

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Solution

The fourth proportional to 1,004.96, 1,507.62 and 542.98 is: 814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.96 : 1,507.62 = 542.98 : x
  2. Step 2: Convert to fraction form
    1,004.96/1,507.62 = 542.98/x
  3. Step 3: Cross multiply
    1,004.96x = 1,507.62 × 542.98
  4. Step 4: Simplify right side
    1,004.96x = 818,607.51
  5. Step 5: Solve for x
    x = 818,607.51/1,004.96
  6. Step 6: Final answer
    x = 814.57

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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.