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Finding the Fourth Proportional to 561.76, 840 and 430.24

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Solution

The fourth proportional to 561.76, 840 and 430.24 is: 643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.76 : 840 = 430.24 : x
  2. Step 2: Convert to fraction form
    561.76/840 = 430.24/x
  3. Step 3: Cross multiply
    561.76x = 840 × 430.24
  4. Step 4: Simplify right side
    561.76x = 361,401.60
  5. Step 5: Solve for x
    x = 361,401.60/561.76
  6. Step 6: Final answer
    x = 643.34

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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.