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Finding the Fourth Proportional to 735.51, 1,015.16 and 420.76

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Solution

The fourth proportional to 735.51, 1,015.16 and 420.76 is: 580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.51 : 1,015.16 = 420.76 : x
  2. Step 2: Convert to fraction form
    735.51/1,015.16 = 420.76/x
  3. Step 3: Cross multiply
    735.51x = 1,015.16 × 420.76
  4. Step 4: Simplify right side
    735.51x = 427,136.62
  5. Step 5: Solve for x
    x = 427,136.62/735.51
  6. Step 6: Final answer
    x = 580.74

Related Problems

Find fourth proportional to 367.76, 507.58 and 210.38
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.