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Finding the Fourth Proportional to 900.94, 1,243.24 and 507.98

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Solution

The fourth proportional to 900.94, 1,243.24 and 507.98 is: 700.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.94 : 1,243.24 = 507.98 : x
  2. Step 2: Convert to fraction form
    900.94/1,243.24 = 507.98/x
  3. Step 3: Cross multiply
    900.94x = 1,243.24 × 507.98
  4. Step 4: Simplify right side
    900.94x = 631,541.06
  5. Step 5: Solve for x
    x = 631,541.06/900.94
  6. Step 6: Final answer
    x = 700.98

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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.