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Finding the Fourth Proportional to 923.05, 1,273.62 and 530.02

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Solution

The fourth proportional to 923.05, 1,273.62 and 530.02 is: 731.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.05 : 1,273.62 = 530.02 : x
  2. Step 2: Convert to fraction form
    923.05/1,273.62 = 530.02/x
  3. Step 3: Cross multiply
    923.05x = 1,273.62 × 530.02
  4. Step 4: Simplify right side
    923.05x = 675,044.07
  5. Step 5: Solve for x
    x = 675,044.07/923.05
  6. Step 6: Final answer
    x = 731.32

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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.