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Finding the Fourth Proportional to 510.77, 703.26 and 448.22

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Solution

The fourth proportional to 510.77, 703.26 and 448.22 is: 617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.77 : 703.26 = 448.22 : x
  2. Step 2: Convert to fraction form
    510.77/703.26 = 448.22/x
  3. Step 3: Cross multiply
    510.77x = 703.26 × 448.22
  4. Step 4: Simplify right side
    510.77x = 315,211.68
  5. Step 5: Solve for x
    x = 315,211.68/510.77
  6. Step 6: Final answer
    x = 617.14

Related Problems

Find fourth proportional to 255.38, 351.63 and 224.11
Half scale
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Double scale
Find fourth proportional to 511.77, 704.64 and 449.22
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.