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Finding the Fourth Proportional to 743.78, 1,024.35 and 664.76

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Solution

The fourth proportional to 743.78, 1,024.35 and 664.76 is: 915.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.78 : 1,024.35 = 664.76 : x
  2. Step 2: Convert to fraction form
    743.78/1,024.35 = 664.76/x
  3. Step 3: Cross multiply
    743.78x = 1,024.35 × 664.76
  4. Step 4: Simplify right side
    743.78x = 680,946.91
  5. Step 5: Solve for x
    x = 680,946.91/743.78
  6. Step 6: Final answer
    x = 915.52

Related Problems

Find fourth proportional to 371.89, 512.18 and 332.38
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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.