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Finding the Fourth Proportional to 746.76, 1,031.39 and 497.67

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Solution

The fourth proportional to 746.76, 1,031.39 and 497.67 is: 687.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.76 : 1,031.39 = 497.67 : x
  2. Step 2: Convert to fraction form
    746.76/1,031.39 = 497.67/x
  3. Step 3: Cross multiply
    746.76x = 1,031.39 × 497.67
  4. Step 4: Simplify right side
    746.76x = 513,291.86
  5. Step 5: Solve for x
    x = 513,291.86/746.76
  6. Step 6: Final answer
    x = 687.36

Related Problems

Find fourth proportional to 373.38, 515.70 and 248.84
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.