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Finding the Fourth Proportional to 917.78, 1,267.03 and 707.50

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Solution

The fourth proportional to 917.78, 1,267.03 and 707.50 is: 976.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.78 : 1,267.03 = 707.50 : x
  2. Step 2: Convert to fraction form
    917.78/1,267.03 = 707.50/x
  3. Step 3: Cross multiply
    917.78x = 1,267.03 × 707.50
  4. Step 4: Simplify right side
    917.78x = 896,417.39
  5. Step 5: Solve for x
    x = 896,417.39/917.78
  6. Step 6: Final answer
    x = 976.72

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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.