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Finding the Fourth Proportional to 1,032.76, 1,425.14 and 590.68

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Solution

The fourth proportional to 1,032.76, 1,425.14 and 590.68 is: 815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.76 : 1,425.14 = 590.68 : x
  2. Step 2: Convert to fraction form
    1,032.76/1,425.14 = 590.68/x
  3. Step 3: Cross multiply
    1,032.76x = 1,425.14 × 590.68
  4. Step 4: Simplify right side
    1,032.76x = 841,801.70
  5. Step 5: Solve for x
    x = 841,801.70/1,032.76
  6. Step 6: Final answer
    x = 815.10

Related Problems

Find fourth proportional to 516.38, 712.57 and 295.34
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.