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Finding the Fourth Proportional to 1,859.16, 2,788.70 and 560.60

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Solution

The fourth proportional to 1,859.16, 2,788.70 and 560.60 is: 840.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.16 : 2,788.70 = 560.60 : x
  2. Step 2: Convert to fraction form
    1,859.16/2,788.70 = 560.60/x
  3. Step 3: Cross multiply
    1,859.16x = 2,788.70 × 560.60
  4. Step 4: Simplify right side
    1,859.16x = 1,563,345.22
  5. Step 5: Solve for x
    x = 1,563,345.22/1,859.16
  6. Step 6: Final answer
    x = 840.89

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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.