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Finding the Fourth Proportional to 720.77, 993.50 and 510.50

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Solution

The fourth proportional to 720.77, 993.50 and 510.50 is: 703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.77 : 993.50 = 510.50 : x
  2. Step 2: Convert to fraction form
    720.77/993.50 = 510.50/x
  3. Step 3: Cross multiply
    720.77x = 993.50 × 510.50
  4. Step 4: Simplify right side
    720.77x = 507,183.60
  5. Step 5: Solve for x
    x = 507,183.60/720.77
  6. Step 6: Final answer
    x = 703.67

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Find fourth proportional to 360.38, 496.75 and 255.25
Half scale
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Double scale
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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.