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Finding the Fourth Proportional to 504.77, 696.65 and 380.23

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Solution

The fourth proportional to 504.77, 696.65 and 380.23 is: 524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.77 : 696.65 = 380.23 : x
  2. Step 2: Convert to fraction form
    504.77/696.65 = 380.23/x
  3. Step 3: Cross multiply
    504.77x = 696.65 × 380.23
  4. Step 4: Simplify right side
    504.77x = 264,883.59
  5. Step 5: Solve for x
    x = 264,883.59/504.77
  6. Step 6: Final answer
    x = 524.77

Related Problems

Find fourth proportional to 252.38, 348.32 and 190.11
Half scale
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Double scale
Find fourth proportional to 505.77, 698.03 and 381.23
Similar ratio
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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.