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Finding the Fourth Proportional to 630.71, 870.34 and 365.07

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Solution

The fourth proportional to 630.71, 870.34 and 365.07 is: 503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.71 : 870.34 = 365.07 : x
  2. Step 2: Convert to fraction form
    630.71/870.34 = 365.07/x
  3. Step 3: Cross multiply
    630.71x = 870.34 × 365.07
  4. Step 4: Simplify right side
    630.71x = 317,735.02
  5. Step 5: Solve for x
    x = 317,735.02/630.71
  6. Step 6: Final answer
    x = 503.77

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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.