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Finding the Fourth Proportional to 1,027.19, 1,417.59 and 840.15

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Solution

The fourth proportional to 1,027.19, 1,417.59 and 840.15 is: 1,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.19 : 1,417.59 = 840.15 : x
  2. Step 2: Convert to fraction form
    1,027.19/1,417.59 = 840.15/x
  3. Step 3: Cross multiply
    1,027.19x = 1,417.59 × 840.15
  4. Step 4: Simplify right side
    1,027.19x = 1,190,988.24
  5. Step 5: Solve for x
    x = 1,190,988.24/1,027.19
  6. Step 6: Final answer
    x = 1,159.47

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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.