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Finding the Fourth Proportional to 973.78, 1,345.02 and 753.82

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Solution

The fourth proportional to 973.78, 1,345.02 and 753.82 is: 1,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.78 : 1,345.02 = 753.82 : x
  2. Step 2: Convert to fraction form
    973.78/1,345.02 = 753.82/x
  3. Step 3: Cross multiply
    973.78x = 1,345.02 × 753.82
  4. Step 4: Simplify right side
    973.78x = 1,013,902.98
  5. Step 5: Solve for x
    x = 1,013,902.98/973.78
  6. Step 6: Final answer
    x = 1,041.20

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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.