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Finding the Fourth Proportional to 594.47, 891.71 and 390.34

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Solution

The fourth proportional to 594.47, 891.71 and 390.34 is: 585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.47 : 891.71 = 390.34 : x
  2. Step 2: Convert to fraction form
    594.47/891.71 = 390.34/x
  3. Step 3: Cross multiply
    594.47x = 891.71 × 390.34
  4. Step 4: Simplify right side
    594.47x = 348,070.08
  5. Step 5: Solve for x
    x = 348,070.08/594.47
  6. Step 6: Final answer
    x = 585.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.