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Finding the Fourth Proportional to 1,036.60, 1,430.08 and 663.46

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Solution

The fourth proportional to 1,036.60, 1,430.08 and 663.46 is: 915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.60 : 1,430.08 = 663.46 : x
  2. Step 2: Convert to fraction form
    1,036.60/1,430.08 = 663.46/x
  3. Step 3: Cross multiply
    1,036.60x = 1,430.08 × 663.46
  4. Step 4: Simplify right side
    1,036.60x = 948,800.88
  5. Step 5: Solve for x
    x = 948,800.88/1,036.60
  6. Step 6: Final answer
    x = 915.30

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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.