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Finding the Fourth Proportional to 678.48, 1,012.08 and 602.40

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Solution

The fourth proportional to 678.48, 1,012.08 and 602.40 is: 898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.48 : 1,012.08 = 602.40 : x
  2. Step 2: Convert to fraction form
    678.48/1,012.08 = 602.40/x
  3. Step 3: Cross multiply
    678.48x = 1,012.08 × 602.40
  4. Step 4: Simplify right side
    678.48x = 609,676.99
  5. Step 5: Solve for x
    x = 609,676.99/678.48
  6. Step 6: Final answer
    x = 898.59

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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.