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Finding the Fourth Proportional to 1,698.31, 2,547.55 and 602.76

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Solution

The fourth proportional to 1,698.31, 2,547.55 and 602.76 is: 904.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.31 : 2,547.55 = 602.76 : x
  2. Step 2: Convert to fraction form
    1,698.31/2,547.55 = 602.76/x
  3. Step 3: Cross multiply
    1,698.31x = 2,547.55 × 602.76
  4. Step 4: Simplify right side
    1,698.31x = 1,535,562.59
  5. Step 5: Solve for x
    x = 1,535,562.59/1,698.31
  6. Step 6: Final answer
    x = 904.17

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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.