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Finding the Fourth Proportional to 667.08, 921.24 and 585

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Solution

The fourth proportional to 667.08, 921.24 and 585 is: 807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.08 : 921.24 = 585 : x
  2. Step 2: Convert to fraction form
    667.08/921.24 = 585/x
  3. Step 3: Cross multiply
    667.08x = 921.24 × 585
  4. Step 4: Simplify right side
    667.08x = 538,925.40
  5. Step 5: Solve for x
    x = 538,925.40/667.08
  6. Step 6: Final answer
    x = 807.89

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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.