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Finding the Fourth Proportional to 631.00, 870.53 and 465.60

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Solution

The fourth proportional to 631.00, 870.53 and 465.60 is: 642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.00 : 870.53 = 465.60 : x
  2. Step 2: Convert to fraction form
    631.00/870.53 = 465.60/x
  3. Step 3: Cross multiply
    631.00x = 870.53 × 465.60
  4. Step 4: Simplify right side
    631.00x = 405,322.11
  5. Step 5: Solve for x
    x = 405,322.11/631.00
  6. Step 6: Final answer
    x = 642.35

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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.