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Finding the Fourth Proportional to 770, 1,154.74 and 282.92

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Solution

The fourth proportional to 770, 1,154.74 and 282.92 is: 424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    770 : 1,154.74 = 282.92 : x
  2. Step 2: Convert to fraction form
    770/1,154.74 = 282.92/x
  3. Step 3: Cross multiply
    770x = 1,154.74 × 282.92
  4. Step 4: Simplify right side
    770x = 326,699.04
  5. Step 5: Solve for x
    x = 326,699.04/770
  6. Step 6: Final answer
    x = 424.28

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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.