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Finding the Fourth Proportional to 786.47, 1,085.28 and 454.88

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Solution

The fourth proportional to 786.47, 1,085.28 and 454.88 is: 627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.47 : 1,085.28 = 454.88 : x
  2. Step 2: Convert to fraction form
    786.47/1,085.28 = 454.88/x
  3. Step 3: Cross multiply
    786.47x = 1,085.28 × 454.88
  4. Step 4: Simplify right side
    786.47x = 493,666.74
  5. Step 5: Solve for x
    x = 493,666.74/786.47
  6. Step 6: Final answer
    x = 627.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.