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Finding the Fourth Proportional to 761.49, 1,136.54 and 653.49

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Solution

The fourth proportional to 761.49, 1,136.54 and 653.49 is: 975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.49 : 1,136.54 = 653.49 : x
  2. Step 2: Convert to fraction form
    761.49/1,136.54 = 653.49/x
  3. Step 3: Cross multiply
    761.49x = 1,136.54 × 653.49
  4. Step 4: Simplify right side
    761.49x = 742,719.16
  5. Step 5: Solve for x
    x = 742,719.16/761.49
  6. Step 6: Final answer
    x = 975.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.