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Finding the Fourth Proportional to 857.64, 1,288.28 and 615.72

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Solution

The fourth proportional to 857.64, 1,288.28 and 615.72 is: 924.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.64 : 1,288.28 = 615.72 : x
  2. Step 2: Convert to fraction form
    857.64/1,288.28 = 615.72/x
  3. Step 3: Cross multiply
    857.64x = 1,288.28 × 615.72
  4. Step 4: Simplify right side
    857.64x = 793,219.76
  5. Step 5: Solve for x
    x = 793,219.76/857.64
  6. Step 6: Final answer
    x = 924.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.