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Finding the Fourth Proportional to 670.40, 924.85 and 421.59

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Solution

The fourth proportional to 670.40, 924.85 and 421.59 is: 581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.40 : 924.85 = 421.59 : x
  2. Step 2: Convert to fraction form
    670.40/924.85 = 421.59/x
  3. Step 3: Cross multiply
    670.40x = 924.85 × 421.59
  4. Step 4: Simplify right side
    670.40x = 389,907.51
  5. Step 5: Solve for x
    x = 389,907.51/670.40
  6. Step 6: Final answer
    x = 581.60

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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.