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Finding the Fourth Proportional to 517.74, 714.24 and 360.76

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Solution

The fourth proportional to 517.74, 714.24 and 360.76 is: 497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.74 : 714.24 = 360.76 : x
  2. Step 2: Convert to fraction form
    517.74/714.24 = 360.76/x
  3. Step 3: Cross multiply
    517.74x = 714.24 × 360.76
  4. Step 4: Simplify right side
    517.74x = 257,667.44
  5. Step 5: Solve for x
    x = 257,667.44/517.74
  6. Step 6: Final answer
    x = 497.68

Related Problems

Find fourth proportional to 258.87, 357.12 and 180.38
Half scale
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Double scale
Find fourth proportional to 518.74, 715.62 and 361.76
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.