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Finding the Fourth Proportional to 916.51, 1,263.88 and 601.67

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Solution

The fourth proportional to 916.51, 1,263.88 and 601.67 is: 829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.51 : 1,263.88 = 601.67 : x
  2. Step 2: Convert to fraction form
    916.51/1,263.88 = 601.67/x
  3. Step 3: Cross multiply
    916.51x = 1,263.88 × 601.67
  4. Step 4: Simplify right side
    916.51x = 760,440.34
  5. Step 5: Solve for x
    x = 760,440.34/916.51
  6. Step 6: Final answer
    x = 829.72

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Why These Related Problems?

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