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Finding the Fourth Proportional to 1,089.50, 1,503.45 and 647.39

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Solution

The fourth proportional to 1,089.50, 1,503.45 and 647.39 is: 893.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.50 : 1,503.45 = 647.39 : x
  2. Step 2: Convert to fraction form
    1,089.50/1,503.45 = 647.39/x
  3. Step 3: Cross multiply
    1,089.50x = 1,503.45 × 647.39
  4. Step 4: Simplify right side
    1,089.50x = 973,310.98
  5. Step 5: Solve for x
    x = 973,310.98/1,089.50
  6. Step 6: Final answer
    x = 893.36

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1.5x scale

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.