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Finding the Fourth Proportional to 575.64, 861.75 and 430.02

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Solution

The fourth proportional to 575.64, 861.75 and 430.02 is: 643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.64 : 861.75 = 430.02 : x
  2. Step 2: Convert to fraction form
    575.64/861.75 = 430.02/x
  3. Step 3: Cross multiply
    575.64x = 861.75 × 430.02
  4. Step 4: Simplify right side
    575.64x = 370,569.74
  5. Step 5: Solve for x
    x = 370,569.74/575.64
  6. Step 6: Final answer
    x = 643.75

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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.