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Finding the Fourth Proportional to 945.78, 1,417.53 and 555.96

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Solution

The fourth proportional to 945.78, 1,417.53 and 555.96 is: 833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.78 : 1,417.53 = 555.96 : x
  2. Step 2: Convert to fraction form
    945.78/1,417.53 = 555.96/x
  3. Step 3: Cross multiply
    945.78x = 1,417.53 × 555.96
  4. Step 4: Simplify right side
    945.78x = 788,089.98
  5. Step 5: Solve for x
    x = 788,089.98/945.78
  6. Step 6: Final answer
    x = 833.27

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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.