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Finding the Fourth Proportional to 556.76, 768.90 and 470.12

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Solution

The fourth proportional to 556.76, 768.90 and 470.12 is: 649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.76 : 768.90 = 470.12 : x
  2. Step 2: Convert to fraction form
    556.76/768.90 = 470.12/x
  3. Step 3: Cross multiply
    556.76x = 768.90 × 470.12
  4. Step 4: Simplify right side
    556.76x = 361,475.27
  5. Step 5: Solve for x
    x = 361,475.27/556.76
  6. Step 6: Final answer
    x = 649.25

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Find fourth proportional to 278.38, 384.45 and 235.06
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1.5x scale

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.