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Finding the Fourth Proportional to 784.61, 1,172.40 and 598.49

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Solution

The fourth proportional to 784.61, 1,172.40 and 598.49 is: 894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.61 : 1,172.40 = 598.49 : x
  2. Step 2: Convert to fraction form
    784.61/1,172.40 = 598.49/x
  3. Step 3: Cross multiply
    784.61x = 1,172.40 × 598.49
  4. Step 4: Simplify right side
    784.61x = 701,663.81
  5. Step 5: Solve for x
    x = 701,663.81/784.61
  6. Step 6: Final answer
    x = 894.29

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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.