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Finding the Fourth Proportional to 840.21, 1,159.50 and 508.58

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Solution

The fourth proportional to 840.21, 1,159.50 and 508.58 is: 701.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.21 : 1,159.50 = 508.58 : x
  2. Step 2: Convert to fraction form
    840.21/1,159.50 = 508.58/x
  3. Step 3: Cross multiply
    840.21x = 1,159.50 × 508.58
  4. Step 4: Simplify right side
    840.21x = 589,692.71
  5. Step 5: Solve for x
    x = 589,692.71/840.21
  6. Step 6: Final answer
    x = 701.84

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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.