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Finding the Fourth Proportional to 916.57, 1,368.19 and 848.89

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Solution

The fourth proportional to 916.57, 1,368.19 and 848.89 is: 1,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.57 : 1,368.19 = 848.89 : x
  2. Step 2: Convert to fraction form
    916.57/1,368.19 = 848.89/x
  3. Step 3: Cross multiply
    916.57x = 1,368.19 × 848.89
  4. Step 4: Simplify right side
    916.57x = 1,161,442.81
  5. Step 5: Solve for x
    x = 1,161,442.81/916.57
  6. Step 6: Final answer
    x = 1,267.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.