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Finding the Fourth Proportional to 491.40, 732.65 and 478.58

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Solution

The fourth proportional to 491.40, 732.65 and 478.58 is: 713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.40 : 732.65 = 478.58 : x
  2. Step 2: Convert to fraction form
    491.40/732.65 = 478.58/x
  3. Step 3: Cross multiply
    491.40x = 732.65 × 478.58
  4. Step 4: Simplify right side
    491.40x = 350,625.58
  5. Step 5: Solve for x
    x = 350,625.58/491.40
  6. Step 6: Final answer
    x = 713.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.