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Finding the Fourth Proportional to 631.64, 870.81 and 585.74

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Solution

The fourth proportional to 631.64, 870.81 and 585.74 is: 807.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.64 : 870.81 = 585.74 : x
  2. Step 2: Convert to fraction form
    631.64/870.81 = 585.74/x
  3. Step 3: Cross multiply
    631.64x = 870.81 × 585.74
  4. Step 4: Simplify right side
    631.64x = 510,068.25
  5. Step 5: Solve for x
    x = 510,068.25/631.64
  6. Step 6: Final answer
    x = 807.53

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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.