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Finding the Fourth Proportional to 690.52, 1,036.46 and 507.40

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Solution

The fourth proportional to 690.52, 1,036.46 and 507.40 is: 761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.52 : 1,036.46 = 507.40 : x
  2. Step 2: Convert to fraction form
    690.52/1,036.46 = 507.40/x
  3. Step 3: Cross multiply
    690.52x = 1,036.46 × 507.40
  4. Step 4: Simplify right side
    690.52x = 525,899.80
  5. Step 5: Solve for x
    x = 525,899.80/690.52
  6. Step 6: Final answer
    x = 761.60

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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.