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Finding the Fourth Proportional to 1,036.02, 1,554.78 and 646.59

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Solution

The fourth proportional to 1,036.02, 1,554.78 and 646.59 is: 970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.02 : 1,554.78 = 646.59 : x
  2. Step 2: Convert to fraction form
    1,036.02/1,554.78 = 646.59/x
  3. Step 3: Cross multiply
    1,036.02x = 1,554.78 × 646.59
  4. Step 4: Simplify right side
    1,036.02x = 1,005,305.20
  5. Step 5: Solve for x
    x = 1,005,305.20/1,036.02
  6. Step 6: Final answer
    x = 970.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.