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Finding the Fourth Proportional to 630.40, 870.06 and 465.46

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Solution

The fourth proportional to 630.40, 870.06 and 465.46 is: 642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.40 : 870.06 = 465.46 : x
  2. Step 2: Convert to fraction form
    630.40/870.06 = 465.46/x
  3. Step 3: Cross multiply
    630.40x = 870.06 × 465.46
  4. Step 4: Simplify right side
    630.40x = 404,978.13
  5. Step 5: Solve for x
    x = 404,978.13/630.40
  6. Step 6: Final answer
    x = 642.41

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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.