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Finding the Fourth Proportional to 877.35, 1,314.98 and 530.47

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Solution

The fourth proportional to 877.35, 1,314.98 and 530.47 is: 795.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.35 : 1,314.98 = 530.47 : x
  2. Step 2: Convert to fraction form
    877.35/1,314.98 = 530.47/x
  3. Step 3: Cross multiply
    877.35x = 1,314.98 × 530.47
  4. Step 4: Simplify right side
    877.35x = 697,557.44
  5. Step 5: Solve for x
    x = 697,557.44/877.35
  6. Step 6: Final answer
    x = 795.07

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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.