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Finding the Fourth Proportional to 646.76, 970.14 and 430.76

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Solution

The fourth proportional to 646.76, 970.14 and 430.76 is: 646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.76 : 970.14 = 430.76 : x
  2. Step 2: Convert to fraction form
    646.76/970.14 = 430.76/x
  3. Step 3: Cross multiply
    646.76x = 970.14 × 430.76
  4. Step 4: Simplify right side
    646.76x = 417,897.51
  5. Step 5: Solve for x
    x = 417,897.51/646.76
  6. Step 6: Final answer
    x = 646.14

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.