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Finding the Fourth Proportional to 756.77, 1,044.36 and 462.13

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Solution

The fourth proportional to 756.77, 1,044.36 and 462.13 is: 637.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.77 : 1,044.36 = 462.13 : x
  2. Step 2: Convert to fraction form
    756.77/1,044.36 = 462.13/x
  3. Step 3: Cross multiply
    756.77x = 1,044.36 × 462.13
  4. Step 4: Simplify right side
    756.77x = 482,627.48
  5. Step 5: Solve for x
    x = 482,627.48/756.77
  6. Step 6: Final answer
    x = 637.75

Related Problems

Find fourth proportional to 378.38, 522.18 and 231.06
Half scale
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Double scale
Find fourth proportional to 757.77, 1,045.74 and 463.13
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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.