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Finding the Fourth Proportional to 707.49, 1,056.88 and 510.81

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Solution

The fourth proportional to 707.49, 1,056.88 and 510.81 is: 763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.49 : 1,056.88 = 510.81 : x
  2. Step 2: Convert to fraction form
    707.49/1,056.88 = 510.81/x
  3. Step 3: Cross multiply
    707.49x = 1,056.88 × 510.81
  4. Step 4: Simplify right side
    707.49x = 539,859.59
  5. Step 5: Solve for x
    x = 539,859.59/707.49
  6. Step 6: Final answer
    x = 763.07

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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.